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Finding the Third Proportional to 653,964 and 1,396,632

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Solution

The third proportional to 653,964 and 1,396,632 is: 2,982,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,964 : 1,396,632 = 1,396,632 : x
  2. Step 2: Convert to fraction form
    653,964/1,396,632 = 1,396,632/x
  3. Step 3: Cross multiply
    653,964x = 1,396,632 × 1,396,632
  4. Step 4: Simplify right side
    653,964x = 1,950,580,943,424
  5. Step 5: Solve for x
    x = 1,950,580,943,424/653,964
  6. Step 6: Final answer
    x = 2,982,703.85

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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.