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Finding the Third Proportional to 502,020 and 1,103,684

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Solution

The third proportional to 502,020 and 1,103,684 is: 2,426,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,020 : 1,103,684 = 1,103,684 : x
  2. Step 2: Convert to fraction form
    502,020/1,103,684 = 1,103,684/x
  3. Step 3: Cross multiply
    502,020x = 1,103,684 × 1,103,684
  4. Step 4: Simplify right side
    502,020x = 1,218,118,371,856
  5. Step 5: Solve for x
    x = 1,218,118,371,856/502,020
  6. Step 6: Final answer
    x = 2,426,433.95

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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.