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Finding the Third Proportional to 971,691 and 2,134,686

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Solution

The third proportional to 971,691 and 2,134,686 is: 4,689,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,691 : 2,134,686 = 2,134,686 : x
  2. Step 2: Convert to fraction form
    971,691/2,134,686 = 2,134,686/x
  3. Step 3: Cross multiply
    971,691x = 2,134,686 × 2,134,686
  4. Step 4: Simplify right side
    971,691x = 4,556,884,318,596
  5. Step 5: Solve for x
    x = 4,556,884,318,596/971,691
  6. Step 6: Final answer
    x = 4,689,643.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.