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Finding the Third Proportional to 417,281 and 901,081

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Solution

The third proportional to 417,281 and 901,081 is: 1,945,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,281 : 901,081 = 901,081 : x
  2. Step 2: Convert to fraction form
    417,281/901,081 = 901,081/x
  3. Step 3: Cross multiply
    417,281x = 901,081 × 901,081
  4. Step 4: Simplify right side
    417,281x = 811,946,968,561
  5. Step 5: Solve for x
    x = 811,946,968,561/417,281
  6. Step 6: Final answer
    x = 1,945,803.83

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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.