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Finding the Third Proportional to 656,724 and 1,428,468

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Solution

The third proportional to 656,724 and 1,428,468 is: 3,107,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,724 : 1,428,468 = 1,428,468 : x
  2. Step 2: Convert to fraction form
    656,724/1,428,468 = 1,428,468/x
  3. Step 3: Cross multiply
    656,724x = 1,428,468 × 1,428,468
  4. Step 4: Simplify right side
    656,724x = 2,040,520,827,024
  5. Step 5: Solve for x
    x = 2,040,520,827,024/656,724
  6. Step 6: Final answer
    x = 3,107,120.84

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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.