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Finding the Third Proportional to 474,297 and 1,119,605

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Solution

The third proportional to 474,297 and 1,119,605 is: 2,642,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,297 : 1,119,605 = 1,119,605 : x
  2. Step 2: Convert to fraction form
    474,297/1,119,605 = 1,119,605/x
  3. Step 3: Cross multiply
    474,297x = 1,119,605 × 1,119,605
  4. Step 4: Simplify right side
    474,297x = 1,253,515,356,025
  5. Step 5: Solve for x
    x = 1,253,515,356,025/474,297
  6. Step 6: Final answer
    x = 2,642,891.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.