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Finding the Third Proportional to 633,565 and 1,378,665

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Solution

The third proportional to 633,565 and 1,378,665 is: 3,000,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,565 : 1,378,665 = 1,378,665 : x
  2. Step 2: Convert to fraction form
    633,565/1,378,665 = 1,378,665/x
  3. Step 3: Cross multiply
    633,565x = 1,378,665 × 1,378,665
  4. Step 4: Simplify right side
    633,565x = 1,900,717,182,225
  5. Step 5: Solve for x
    x = 1,900,717,182,225/633,565
  6. Step 6: Final answer
    x = 3,000,035.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.