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Finding the Third Proportional to 1,838,765.81 and 4,040,209.13

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Solution

The third proportional to 1,838,765.81 and 4,040,209.13 is: 8,877,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,765.81 : 4,040,209.13 = 4,040,209.13 : x
  2. Step 2: Convert to fraction form
    1,838,765.81/4,040,209.13 = 4,040,209.13/x
  3. Step 3: Cross multiply
    1,838,765.81x = 4,040,209.13 × 4,040,209.13
  4. Step 4: Simplify right side
    1,838,765.81x = 16,323,289,773,733.27
  5. Step 5: Solve for x
    x = 16,323,289,773,733.27/1,838,765.81
  6. Step 6: Final answer
    x = 8,877,307.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.