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Finding the Third Proportional to 659,856 and 1,413,024

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Solution

The third proportional to 659,856 and 1,413,024 is: 3,025,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,856 : 1,413,024 = 1,413,024 : x
  2. Step 2: Convert to fraction form
    659,856/1,413,024 = 1,413,024/x
  3. Step 3: Cross multiply
    659,856x = 1,413,024 × 1,413,024
  4. Step 4: Simplify right side
    659,856x = 1,996,636,824,576
  5. Step 5: Solve for x
    x = 1,996,636,824,576/659,856
  6. Step 6: Final answer
    x = 3,025,867.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.