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Finding the Third Proportional to 502,046 and 1,103,602

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Solution

The third proportional to 502,046 and 1,103,602 is: 2,425,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,046 : 1,103,602 = 1,103,602 : x
  2. Step 2: Convert to fraction form
    502,046/1,103,602 = 1,103,602/x
  3. Step 3: Cross multiply
    502,046x = 1,103,602 × 1,103,602
  4. Step 4: Simplify right side
    502,046x = 1,217,937,374,404
  5. Step 5: Solve for x
    x = 1,217,937,374,404/502,046
  6. Step 6: Final answer
    x = 2,425,947.77

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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.