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Finding the Third Proportional to 853,584 and 1,867,872

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Solution

The third proportional to 853,584 and 1,867,872 is: 4,087,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,584 : 1,867,872 = 1,867,872 : x
  2. Step 2: Convert to fraction form
    853,584/1,867,872 = 1,867,872/x
  3. Step 3: Cross multiply
    853,584x = 1,867,872 × 1,867,872
  4. Step 4: Simplify right side
    853,584x = 3,488,945,808,384
  5. Step 5: Solve for x
    x = 3,488,945,808,384/853,584
  6. Step 6: Final answer
    x = 4,087,407.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.