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Finding the Third Proportional to 748,827 and 1,615,743

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Solution

The third proportional to 748,827 and 1,615,743 is: 3,486,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,827 : 1,615,743 = 1,615,743 : x
  2. Step 2: Convert to fraction form
    748,827/1,615,743 = 1,615,743/x
  3. Step 3: Cross multiply
    748,827x = 1,615,743 × 1,615,743
  4. Step 4: Simplify right side
    748,827x = 2,610,625,442,049
  5. Step 5: Solve for x
    x = 2,610,625,442,049/748,827
  6. Step 6: Final answer
    x = 3,486,286.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.