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Finding the Third Proportional to 585,747 and 1,278,900

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Solution

The third proportional to 585,747 and 1,278,900 is: 2,792,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,747 : 1,278,900 = 1,278,900 : x
  2. Step 2: Convert to fraction form
    585,747/1,278,900 = 1,278,900/x
  3. Step 3: Cross multiply
    585,747x = 1,278,900 × 1,278,900
  4. Step 4: Simplify right side
    585,747x = 1,635,585,210,000
  5. Step 5: Solve for x
    x = 1,635,585,210,000/585,747
  6. Step 6: Final answer
    x = 2,792,306.59

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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.