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Finding the Third Proportional to 678,960 and 1,413,708

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Solution

The third proportional to 678,960 and 1,413,708 is: 2,943,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,960 : 1,413,708 = 1,413,708 : x
  2. Step 2: Convert to fraction form
    678,960/1,413,708 = 1,413,708/x
  3. Step 3: Cross multiply
    678,960x = 1,413,708 × 1,413,708
  4. Step 4: Simplify right side
    678,960x = 1,998,570,309,264
  5. Step 5: Solve for x
    x = 1,998,570,309,264/678,960
  6. Step 6: Final answer
    x = 2,943,575.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.