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Finding the Third Proportional to 819,402.33 and 1,671,332.48

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Solution

The third proportional to 819,402.33 and 1,671,332.48 is: 3,409,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,402.33 : 1,671,332.48 = 1,671,332.48 : x
  2. Step 2: Convert to fraction form
    819,402.33/1,671,332.48 = 1,671,332.48/x
  3. Step 3: Cross multiply
    819,402.33x = 1,671,332.48 × 1,671,332.48
  4. Step 4: Simplify right side
    819,402.33x = 2,793,352,273,327.11
  5. Step 5: Solve for x
    x = 2,793,352,273,327.11/819,402.33
  6. Step 6: Final answer
    x = 3,409,011.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.