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Finding the Third Proportional to 675,234 and 1,020,087

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Solution

The third proportional to 675,234 and 1,020,087 is: 1,541,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,234 : 1,020,087 = 1,020,087 : x
  2. Step 2: Convert to fraction form
    675,234/1,020,087 = 1,020,087/x
  3. Step 3: Cross multiply
    675,234x = 1,020,087 × 1,020,087
  4. Step 4: Simplify right side
    675,234x = 1,040,577,487,569
  5. Step 5: Solve for x
    x = 1,040,577,487,569/675,234
  6. Step 6: Final answer
    x = 1,541,062.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.