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Finding the Third Proportional to 567,494,226 and 798,808,684.50

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Solution

The third proportional to 567,494,226 and 798,808,684.50 is: 1,124,408,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,494,226 : 798,808,684.50 = 798,808,684.50 : x
  2. Step 2: Convert to fraction form
    567,494,226/798,808,684.50 = 798,808,684.50/x
  3. Step 3: Cross multiply
    567,494,226x = 798,808,684.50 × 798,808,684.50
  4. Step 4: Simplify right side
    567,494,226x = 638,095,314,432,620,544
  5. Step 5: Solve for x
    x = 638,095,314,432,620,544/567,494,226
  6. Step 6: Final answer
    x = 1,124,408,470.07

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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.