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Finding the Third Proportional to 971,894 and 1,438,711

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Solution

The third proportional to 971,894 and 1,438,711 is: 2,129,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,894 : 1,438,711 = 1,438,711 : x
  2. Step 2: Convert to fraction form
    971,894/1,438,711 = 1,438,711/x
  3. Step 3: Cross multiply
    971,894x = 1,438,711 × 1,438,711
  4. Step 4: Simplify right side
    971,894x = 2,069,889,341,521
  5. Step 5: Solve for x
    x = 2,069,889,341,521/971,894
  6. Step 6: Final answer
    x = 2,129,748.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.