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Finding the Third Proportional to 653,952 and 1,396,608

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Solution

The third proportional to 653,952 and 1,396,608 is: 2,982,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,952 : 1,396,608 = 1,396,608 : x
  2. Step 2: Convert to fraction form
    653,952/1,396,608 = 1,396,608/x
  3. Step 3: Cross multiply
    653,952x = 1,396,608 × 1,396,608
  4. Step 4: Simplify right side
    653,952x = 1,950,513,905,664
  5. Step 5: Solve for x
    x = 1,950,513,905,664/653,952
  6. Step 6: Final answer
    x = 2,982,656.08

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Why These Related Problems?

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