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Finding the Third Proportional to 474,295 and 1,035,267

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Solution

The third proportional to 474,295 and 1,035,267 is: 2,259,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,295 : 1,035,267 = 1,035,267 : x
  2. Step 2: Convert to fraction form
    474,295/1,035,267 = 1,035,267/x
  3. Step 3: Cross multiply
    474,295x = 1,035,267 × 1,035,267
  4. Step 4: Simplify right side
    474,295x = 1,071,777,761,289
  5. Step 5: Solve for x
    x = 1,071,777,761,289/474,295
  6. Step 6: Final answer
    x = 2,259,728.15

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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.