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Finding the Third Proportional to 814,508 and 1,071,076

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Solution

The third proportional to 814,508 and 1,071,076 is: 1,408,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,508 : 1,071,076 = 1,071,076 : x
  2. Step 2: Convert to fraction form
    814,508/1,071,076 = 1,071,076/x
  3. Step 3: Cross multiply
    814,508x = 1,071,076 × 1,071,076
  4. Step 4: Simplify right side
    814,508x = 1,147,203,797,776
  5. Step 5: Solve for x
    x = 1,147,203,797,776/814,508
  6. Step 6: Final answer
    x = 1,408,462.28

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.