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Finding the Third Proportional to 417,936 and 898,720

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Solution

The third proportional to 417,936 and 898,720 is: 1,932,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,936 : 898,720 = 898,720 : x
  2. Step 2: Convert to fraction form
    417,936/898,720 = 898,720/x
  3. Step 3: Cross multiply
    417,936x = 898,720 × 898,720
  4. Step 4: Simplify right side
    417,936x = 807,697,638,400
  5. Step 5: Solve for x
    x = 807,697,638,400/417,936
  6. Step 6: Final answer
    x = 1,932,586.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.