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Finding the Third Proportional to 464,564 and 984,950

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Solution

The third proportional to 464,564 and 984,950 is: 2,088,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,564 : 984,950 = 984,950 : x
  2. Step 2: Convert to fraction form
    464,564/984,950 = 984,950/x
  3. Step 3: Cross multiply
    464,564x = 984,950 × 984,950
  4. Step 4: Simplify right side
    464,564x = 970,126,502,500
  5. Step 5: Solve for x
    x = 970,126,502,500/464,564
  6. Step 6: Final answer
    x = 2,088,251.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.