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Finding the Third Proportional to 857,292 and 1,832,680

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Solution

The third proportional to 857,292 and 1,832,680 is: 3,917,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,292 : 1,832,680 = 1,832,680 : x
  2. Step 2: Convert to fraction form
    857,292/1,832,680 = 1,832,680/x
  3. Step 3: Cross multiply
    857,292x = 1,832,680 × 1,832,680
  4. Step 4: Simplify right side
    857,292x = 3,358,715,982,400
  5. Step 5: Solve for x
    x = 3,358,715,982,400/857,292
  6. Step 6: Final answer
    x = 3,917,820.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.