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Finding the Third Proportional to 297,252,720 and 621,608,931

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Solution

The third proportional to 297,252,720 and 621,608,931 is: 1,299,896,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,252,720 : 621,608,931 = 621,608,931 : x
  2. Step 2: Convert to fraction form
    297,252,720/621,608,931 = 621,608,931/x
  3. Step 3: Cross multiply
    297,252,720x = 621,608,931 × 621,608,931
  4. Step 4: Simplify right side
    297,252,720x = 386,397,663,098,962,752
  5. Step 5: Solve for x
    x = 386,397,663,098,962,752/297,252,720
  6. Step 6: Final answer
    x = 1,299,896,139.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.