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Finding the Third Proportional to 417,290 and 901,098

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Solution

The third proportional to 417,290 and 901,098 is: 1,945,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,290 : 901,098 = 901,098 : x
  2. Step 2: Convert to fraction form
    417,290/901,098 = 901,098/x
  3. Step 3: Cross multiply
    417,290x = 901,098 × 901,098
  4. Step 4: Simplify right side
    417,290x = 811,977,605,604
  5. Step 5: Solve for x
    x = 811,977,605,604/417,290
  6. Step 6: Final answer
    x = 1,945,835.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.