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Finding the Third Proportional to 707,840 and 1,540,080

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Solution

The third proportional to 707,840 and 1,540,080 is: 3,350,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,840 : 1,540,080 = 1,540,080 : x
  2. Step 2: Convert to fraction form
    707,840/1,540,080 = 1,540,080/x
  3. Step 3: Cross multiply
    707,840x = 1,540,080 × 1,540,080
  4. Step 4: Simplify right side
    707,840x = 2,371,846,406,400
  5. Step 5: Solve for x
    x = 2,371,846,406,400/707,840
  6. Step 6: Final answer
    x = 3,350,822.79

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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.