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Finding the Third Proportional to 416,901 and 910,074

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Solution

The third proportional to 416,901 and 910,074 is: 1,986,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,901 : 910,074 = 910,074 : x
  2. Step 2: Convert to fraction form
    416,901/910,074 = 910,074/x
  3. Step 3: Cross multiply
    416,901x = 910,074 × 910,074
  4. Step 4: Simplify right side
    416,901x = 828,234,685,476
  5. Step 5: Solve for x
    x = 828,234,685,476/416,901
  6. Step 6: Final answer
    x = 1,986,645.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.