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Finding the Third Proportional to 754,080 and 1,643,637

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Solution

The third proportional to 754,080 and 1,643,637 is: 3,582,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,080 : 1,643,637 = 1,643,637 : x
  2. Step 2: Convert to fraction form
    754,080/1,643,637 = 1,643,637/x
  3. Step 3: Cross multiply
    754,080x = 1,643,637 × 1,643,637
  4. Step 4: Simplify right side
    754,080x = 2,701,542,587,769
  5. Step 5: Solve for x
    x = 2,701,542,587,769/754,080
  6. Step 6: Final answer
    x = 3,582,567.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.