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Finding the Third Proportional to 2,564,020 and 3,713,742

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Solution

The third proportional to 2,564,020 and 3,713,742 is: 5,379,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,020 : 3,713,742 = 3,713,742 : x
  2. Step 2: Convert to fraction form
    2,564,020/3,713,742 = 3,713,742/x
  3. Step 3: Cross multiply
    2,564,020x = 3,713,742 × 3,713,742
  4. Step 4: Simplify right side
    2,564,020x = 13,791,879,642,564
  5. Step 5: Solve for x
    x = 13,791,879,642,564/2,564,020
  6. Step 6: Final answer
    x = 5,379,006.26

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.