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Finding the Third Proportional to 2,042,713 and 4,490,642

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Solution

The third proportional to 2,042,713 and 4,490,642 is: 9,872,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,713 : 4,490,642 = 4,490,642 : x
  2. Step 2: Convert to fraction form
    2,042,713/4,490,642 = 4,490,642/x
  3. Step 3: Cross multiply
    2,042,713x = 4,490,642 × 4,490,642
  4. Step 4: Simplify right side
    2,042,713x = 20,165,865,572,164
  5. Step 5: Solve for x
    x = 20,165,865,572,164/2,042,713
  6. Step 6: Final answer
    x = 9,872,099.30

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