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Finding the Third Proportional to 819,052,963 and 1,158,934,834

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Solution

The third proportional to 819,052,963 and 1,158,934,834 is: 1,639,857,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,052,963 : 1,158,934,834 = 1,158,934,834 : x
  2. Step 2: Convert to fraction form
    819,052,963/1,158,934,834 = 1,158,934,834/x
  3. Step 3: Cross multiply
    819,052,963x = 1,158,934,834 × 1,158,934,834
  4. Step 4: Simplify right side
    819,052,963x = 1,343,129,949,458,607,616
  5. Step 5: Solve for x
    x = 1,343,129,949,458,607,616/819,052,963
  6. Step 6: Final answer
    x = 1,639,857,262.15

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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.