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Finding the Third Proportional to 971,694 and 2,134,692

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Solution

The third proportional to 971,694 and 2,134,692 is: 4,689,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,694 : 2,134,692 = 2,134,692 : x
  2. Step 2: Convert to fraction form
    971,694/2,134,692 = 2,134,692/x
  3. Step 3: Cross multiply
    971,694x = 2,134,692 × 2,134,692
  4. Step 4: Simplify right side
    971,694x = 4,556,909,934,864
  5. Step 5: Solve for x
    x = 4,556,909,934,864/971,694
  6. Step 6: Final answer
    x = 4,689,655.32

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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.