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Finding the Third Proportional to 838,432 and 1,283,184

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Solution

The third proportional to 838,432 and 1,283,184 is: 1,963,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,432 : 1,283,184 = 1,283,184 : x
  2. Step 2: Convert to fraction form
    838,432/1,283,184 = 1,283,184/x
  3. Step 3: Cross multiply
    838,432x = 1,283,184 × 1,283,184
  4. Step 4: Simplify right side
    838,432x = 1,646,561,177,856
  5. Step 5: Solve for x
    x = 1,646,561,177,856/838,432
  6. Step 6: Final answer
    x = 1,963,857.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.