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Finding the Third Proportional to 692,605,850 and 1,523,730,448

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Solution

The third proportional to 692,605,850 and 1,523,730,448 is: 3,352,201,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,605,850 : 1,523,730,448 = 1,523,730,448 : x
  2. Step 2: Convert to fraction form
    692,605,850/1,523,730,448 = 1,523,730,448/x
  3. Step 3: Cross multiply
    692,605,850x = 1,523,730,448 × 1,523,730,448
  4. Step 4: Simplify right side
    692,605,850x = 2,321,754,478,162,280,448
  5. Step 5: Solve for x
    x = 2,321,754,478,162,280,448/692,605,850
  6. Step 6: Final answer
    x = 3,352,201,657.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.