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Finding the Third Proportional to 491,466 and 1,071,860

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Solution

The third proportional to 491,466 and 1,071,860 is: 2,337,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,466 : 1,071,860 = 1,071,860 : x
  2. Step 2: Convert to fraction form
    491,466/1,071,860 = 1,071,860/x
  3. Step 3: Cross multiply
    491,466x = 1,071,860 × 1,071,860
  4. Step 4: Simplify right side
    491,466x = 1,148,883,859,600
  5. Step 5: Solve for x
    x = 1,148,883,859,600/491,466
  6. Step 6: Final answer
    x = 2,337,667.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.