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Finding the Third Proportional to 1,000,742 and 1,474,644

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Solution

The third proportional to 1,000,742 and 1,474,644 is: 2,172,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,742 : 1,474,644 = 1,474,644 : x
  2. Step 2: Convert to fraction form
    1,000,742/1,474,644 = 1,474,644/x
  3. Step 3: Cross multiply
    1,000,742x = 1,474,644 × 1,474,644
  4. Step 4: Simplify right side
    1,000,742x = 2,174,574,926,736
  5. Step 5: Solve for x
    x = 2,174,574,926,736/1,000,742
  6. Step 6: Final answer
    x = 2,172,962.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.