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Finding the Third Proportional to 502,596 and 1,083,921

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Solution

The third proportional to 502,596 and 1,083,921 is: 2,337,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,596 : 1,083,921 = 1,083,921 : x
  2. Step 2: Convert to fraction form
    502,596/1,083,921 = 1,083,921/x
  3. Step 3: Cross multiply
    502,596x = 1,083,921 × 1,083,921
  4. Step 4: Simplify right side
    502,596x = 1,174,884,734,241
  5. Step 5: Solve for x
    x = 1,174,884,734,241/502,596
  6. Step 6: Final answer
    x = 2,337,632.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.