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Finding the Third Proportional to 464,564 and 984,951

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Solution

The third proportional to 464,564 and 984,951 is: 2,088,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,564 : 984,951 = 984,951 : x
  2. Step 2: Convert to fraction form
    464,564/984,951 = 984,951/x
  3. Step 3: Cross multiply
    464,564x = 984,951 × 984,951
  4. Step 4: Simplify right side
    464,564x = 970,128,472,401
  5. Step 5: Solve for x
    x = 970,128,472,401/464,564
  6. Step 6: Final answer
    x = 2,088,255.81

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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.