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Finding the Third Proportional to 720,840 and 1,585,566

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Solution

The third proportional to 720,840 and 1,585,566 is: 3,487,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,840 : 1,585,566 = 1,585,566 : x
  2. Step 2: Convert to fraction form
    720,840/1,585,566 = 1,585,566/x
  3. Step 3: Cross multiply
    720,840x = 1,585,566 × 1,585,566
  4. Step 4: Simplify right side
    720,840x = 2,514,019,540,356
  5. Step 5: Solve for x
    x = 2,514,019,540,356/720,840
  6. Step 6: Final answer
    x = 3,487,624.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.