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Finding the Third Proportional to 502,023 and 1,103,690

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Solution

The third proportional to 502,023 and 1,103,690 is: 2,426,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,023 : 1,103,690 = 1,103,690 : x
  2. Step 2: Convert to fraction form
    502,023/1,103,690 = 1,103,690/x
  3. Step 3: Cross multiply
    502,023x = 1,103,690 × 1,103,690
  4. Step 4: Simplify right side
    502,023x = 1,218,131,616,100
  5. Step 5: Solve for x
    x = 1,218,131,616,100/502,023
  6. Step 6: Final answer
    x = 2,426,445.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.