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Finding the Third Proportional to 668,128 and 1,034,080

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Solution

The third proportional to 668,128 and 1,034,080 is: 1,600,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,128 : 1,034,080 = 1,034,080 : x
  2. Step 2: Convert to fraction form
    668,128/1,034,080 = 1,034,080/x
  3. Step 3: Cross multiply
    668,128x = 1,034,080 × 1,034,080
  4. Step 4: Simplify right side
    668,128x = 1,069,321,446,400
  5. Step 5: Solve for x
    x = 1,069,321,446,400/668,128
  6. Step 6: Final answer
    x = 1,600,473.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.