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Finding the Third Proportional to 1,186,560 and 1,766,448

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Solution

The third proportional to 1,186,560 and 1,766,448 is: 2,629,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,560 : 1,766,448 = 1,766,448 : x
  2. Step 2: Convert to fraction form
    1,186,560/1,766,448 = 1,766,448/x
  3. Step 3: Cross multiply
    1,186,560x = 1,766,448 × 1,766,448
  4. Step 4: Simplify right side
    1,186,560x = 3,120,338,536,704
  5. Step 5: Solve for x
    x = 3,120,338,536,704/1,186,560
  6. Step 6: Final answer
    x = 2,629,735.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.