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Finding the Third Proportional to 1,642,113 and 2,614,947

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Solution

The third proportional to 1,642,113 and 2,614,947 is: 4,164,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,113 : 2,614,947 = 2,614,947 : x
  2. Step 2: Convert to fraction form
    1,642,113/2,614,947 = 2,614,947/x
  3. Step 3: Cross multiply
    1,642,113x = 2,614,947 × 2,614,947
  4. Step 4: Simplify right side
    1,642,113x = 6,837,947,812,809
  5. Step 5: Solve for x
    x = 6,837,947,812,809/1,642,113
  6. Step 6: Final answer
    x = 4,164,115.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.