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Finding the Third Proportional to 1,744,582 and 3,700,448

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Solution

The third proportional to 1,744,582 and 3,700,448 is: 7,849,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,582 : 3,700,448 = 3,700,448 : x
  2. Step 2: Convert to fraction form
    1,744,582/3,700,448 = 3,700,448/x
  3. Step 3: Cross multiply
    1,744,582x = 3,700,448 × 3,700,448
  4. Step 4: Simplify right side
    1,744,582x = 13,693,315,400,704
  5. Step 5: Solve for x
    x = 13,693,315,400,704/1,744,582
  6. Step 6: Final answer
    x = 7,849,052.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.