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Finding the Third Proportional to 743,781 and 1,526,767

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Solution

The third proportional to 743,781 and 1,526,767 is: 3,134,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,781 : 1,526,767 = 1,526,767 : x
  2. Step 2: Convert to fraction form
    743,781/1,526,767 = 1,526,767/x
  3. Step 3: Cross multiply
    743,781x = 1,526,767 × 1,526,767
  4. Step 4: Simplify right side
    743,781x = 2,331,017,472,289
  5. Step 5: Solve for x
    x = 2,331,017,472,289/743,781
  6. Step 6: Final answer
    x = 3,134,010.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.