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Finding the Third Proportional to 563,665 and 1,182,719

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Solution

The third proportional to 563,665 and 1,182,719 is: 2,481,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,665 : 1,182,719 = 1,182,719 : x
  2. Step 2: Convert to fraction form
    563,665/1,182,719 = 1,182,719/x
  3. Step 3: Cross multiply
    563,665x = 1,182,719 × 1,182,719
  4. Step 4: Simplify right side
    563,665x = 1,398,824,232,961
  5. Step 5: Solve for x
    x = 1,398,824,232,961/563,665
  6. Step 6: Final answer
    x = 2,481,658.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.