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Finding the Third Proportional to 552,288 and 1,207,920

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Solution

The third proportional to 552,288 and 1,207,920 is: 2,641,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,288 : 1,207,920 = 1,207,920 : x
  2. Step 2: Convert to fraction form
    552,288/1,207,920 = 1,207,920/x
  3. Step 3: Cross multiply
    552,288x = 1,207,920 × 1,207,920
  4. Step 4: Simplify right side
    552,288x = 1,459,070,726,400
  5. Step 5: Solve for x
    x = 1,459,070,726,400/552,288
  6. Step 6: Final answer
    x = 2,641,865.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.