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Finding the Third Proportional to 297,252,724 and 621,608,940

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Solution

The third proportional to 297,252,724 and 621,608,940 is: 1,299,896,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,252,724 : 621,608,940 = 621,608,940 : x
  2. Step 2: Convert to fraction form
    297,252,724/621,608,940 = 621,608,940/x
  3. Step 3: Cross multiply
    297,252,724x = 621,608,940 × 621,608,940
  4. Step 4: Simplify right side
    297,252,724x = 386,397,674,287,923,584
  5. Step 5: Solve for x
    x = 386,397,674,287,923,584/297,252,724
  6. Step 6: Final answer
    x = 1,299,896,159.36

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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.