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Finding the Third Proportional to 928,117 and 1,476,831

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Solution

The third proportional to 928,117 and 1,476,831 is: 2,349,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,117 : 1,476,831 = 1,476,831 : x
  2. Step 2: Convert to fraction form
    928,117/1,476,831 = 1,476,831/x
  3. Step 3: Cross multiply
    928,117x = 1,476,831 × 1,476,831
  4. Step 4: Simplify right side
    928,117x = 2,181,029,802,561
  5. Step 5: Solve for x
    x = 2,181,029,802,561/928,117
  6. Step 6: Final answer
    x = 2,349,951.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.