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Finding the Third Proportional to 753,874 and 1,640,712

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Solution

The third proportional to 753,874 and 1,640,712 is: 3,570,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,874 : 1,640,712 = 1,640,712 : x
  2. Step 2: Convert to fraction form
    753,874/1,640,712 = 1,640,712/x
  3. Step 3: Cross multiply
    753,874x = 1,640,712 × 1,640,712
  4. Step 4: Simplify right side
    753,874x = 2,691,935,866,944
  5. Step 5: Solve for x
    x = 2,691,935,866,944/753,874
  6. Step 6: Final answer
    x = 3,570,803.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.