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Finding the Third Proportional to 717,534 and 1,538,100

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Solution

The third proportional to 717,534 and 1,538,100 is: 3,297,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,534 : 1,538,100 = 1,538,100 : x
  2. Step 2: Convert to fraction form
    717,534/1,538,100 = 1,538,100/x
  3. Step 3: Cross multiply
    717,534x = 1,538,100 × 1,538,100
  4. Step 4: Simplify right side
    717,534x = 2,365,751,610,000
  5. Step 5: Solve for x
    x = 2,365,751,610,000/717,534
  6. Step 6: Final answer
    x = 3,297,058.55

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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.