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Finding the Third Proportional to 929,180 and 1,308,534

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Solution

The third proportional to 929,180 and 1,308,534 is: 1,842,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,180 : 1,308,534 = 1,308,534 : x
  2. Step 2: Convert to fraction form
    929,180/1,308,534 = 1,308,534/x
  3. Step 3: Cross multiply
    929,180x = 1,308,534 × 1,308,534
  4. Step 4: Simplify right side
    929,180x = 1,712,261,229,156
  5. Step 5: Solve for x
    x = 1,712,261,229,156/929,180
  6. Step 6: Final answer
    x = 1,842,765.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.