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Finding the Third Proportional to 819,052,960.50 and 1,158,934,830.75

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Solution

The third proportional to 819,052,960.50 and 1,158,934,830.75 is: 1,639,857,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,052,960.50 : 1,158,934,830.75 = 1,158,934,830.75 : x
  2. Step 2: Convert to fraction form
    819,052,960.50/1,158,934,830.75 = 1,158,934,830.75/x
  3. Step 3: Cross multiply
    819,052,960.50x = 1,158,934,830.75 × 1,158,934,830.75
  4. Step 4: Simplify right side
    819,052,960.50x = 1,343,129,941,925,531,136
  5. Step 5: Solve for x
    x = 1,343,129,941,925,531,136/819,052,960.50
  6. Step 6: Final answer
    x = 1,639,857,257.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.