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Finding the Third Proportional to 814,466 and 1,071,038

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Solution

The third proportional to 814,466 and 1,071,038 is: 1,408,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,466 : 1,071,038 = 1,071,038 : x
  2. Step 2: Convert to fraction form
    814,466/1,071,038 = 1,071,038/x
  3. Step 3: Cross multiply
    814,466x = 1,071,038 × 1,071,038
  4. Step 4: Simplify right side
    814,466x = 1,147,122,397,444
  5. Step 5: Solve for x
    x = 1,147,122,397,444/814,466
  6. Step 6: Final answer
    x = 1,408,434.97

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.