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Finding the Third Proportional to 502,722 and 1,077,408

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Solution

The third proportional to 502,722 and 1,077,408 is: 2,309,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,722 : 1,077,408 = 1,077,408 : x
  2. Step 2: Convert to fraction form
    502,722/1,077,408 = 1,077,408/x
  3. Step 3: Cross multiply
    502,722x = 1,077,408 × 1,077,408
  4. Step 4: Simplify right side
    502,722x = 1,160,807,998,464
  5. Step 5: Solve for x
    x = 1,160,807,998,464/502,722
  6. Step 6: Final answer
    x = 2,309,045.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.