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Finding the Third Proportional to 984,578 and 1,475,226

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Solution

The third proportional to 984,578 and 1,475,226 is: 2,210,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,578 : 1,475,226 = 1,475,226 : x
  2. Step 2: Convert to fraction form
    984,578/1,475,226 = 1,475,226/x
  3. Step 3: Cross multiply
    984,578x = 1,475,226 × 1,475,226
  4. Step 4: Simplify right side
    984,578x = 2,176,291,751,076
  5. Step 5: Solve for x
    x = 2,176,291,751,076/984,578
  6. Step 6: Final answer
    x = 2,210,380.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.