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Finding the Third Proportional to 659,640 and 1,412,560

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Solution

The third proportional to 659,640 and 1,412,560 is: 3,024,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,640 : 1,412,560 = 1,412,560 : x
  2. Step 2: Convert to fraction form
    659,640/1,412,560 = 1,412,560/x
  3. Step 3: Cross multiply
    659,640x = 1,412,560 × 1,412,560
  4. Step 4: Simplify right side
    659,640x = 1,995,325,753,600
  5. Step 5: Solve for x
    x = 1,995,325,753,600/659,640
  6. Step 6: Final answer
    x = 3,024,870.77

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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.