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Finding the Third Proportional to 474,128 and 1,027,312

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Solution

The third proportional to 474,128 and 1,027,312 is: 2,225,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,128 : 1,027,312 = 1,027,312 : x
  2. Step 2: Convert to fraction form
    474,128/1,027,312 = 1,027,312/x
  3. Step 3: Cross multiply
    474,128x = 1,027,312 × 1,027,312
  4. Step 4: Simplify right side
    474,128x = 1,055,369,945,344
  5. Step 5: Solve for x
    x = 1,055,369,945,344/474,128
  6. Step 6: Final answer
    x = 2,225,917.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.