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Finding the Third Proportional to 960,540 and 1,391,211

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Solution

The third proportional to 960,540 and 1,391,211 is: 2,014,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,540 : 1,391,211 = 1,391,211 : x
  2. Step 2: Convert to fraction form
    960,540/1,391,211 = 1,391,211/x
  3. Step 3: Cross multiply
    960,540x = 1,391,211 × 1,391,211
  4. Step 4: Simplify right side
    960,540x = 1,935,468,046,521
  5. Step 5: Solve for x
    x = 1,935,468,046,521/960,540
  6. Step 6: Final answer
    x = 2,014,979.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.