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Finding the Third Proportional to 658,967 and 1,438,767

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Solution

The third proportional to 658,967 and 1,438,767 is: 3,141,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,967 : 1,438,767 = 1,438,767 : x
  2. Step 2: Convert to fraction form
    658,967/1,438,767 = 1,438,767/x
  3. Step 3: Cross multiply
    658,967x = 1,438,767 × 1,438,767
  4. Step 4: Simplify right side
    658,967x = 2,070,050,480,289
  5. Step 5: Solve for x
    x = 2,070,050,480,289/658,967
  6. Step 6: Final answer
    x = 3,141,356.82

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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.