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Finding the Third Proportional to 668,304 and 1,577,080

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Solution

The third proportional to 668,304 and 1,577,080 is: 3,721,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,304 : 1,577,080 = 1,577,080 : x
  2. Step 2: Convert to fraction form
    668,304/1,577,080 = 1,577,080/x
  3. Step 3: Cross multiply
    668,304x = 1,577,080 × 1,577,080
  4. Step 4: Simplify right side
    668,304x = 2,487,181,326,400
  5. Step 5: Solve for x
    x = 2,487,181,326,400/668,304
  6. Step 6: Final answer
    x = 3,721,631.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.