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Finding the Third Proportional to 1,162,416 and 1,744,784

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Solution

The third proportional to 1,162,416 and 1,744,784 is: 2,618,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,416 : 1,744,784 = 1,744,784 : x
  2. Step 2: Convert to fraction form
    1,162,416/1,744,784 = 1,744,784/x
  3. Step 3: Cross multiply
    1,162,416x = 1,744,784 × 1,744,784
  4. Step 4: Simplify right side
    1,162,416x = 3,044,271,206,656
  5. Step 5: Solve for x
    x = 3,044,271,206,656/1,162,416
  6. Step 6: Final answer
    x = 2,618,917.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.