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Finding the Third Proportional to 417,274 and 901,069

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Solution

The third proportional to 417,274 and 901,069 is: 1,945,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,274 : 901,069 = 901,069 : x
  2. Step 2: Convert to fraction form
    417,274/901,069 = 901,069/x
  3. Step 3: Cross multiply
    417,274x = 901,069 × 901,069
  4. Step 4: Simplify right side
    417,274x = 811,925,342,761
  5. Step 5: Solve for x
    x = 811,925,342,761/417,274
  6. Step 6: Final answer
    x = 1,945,784.65

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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.