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Finding the Third Proportional to 826,588 and 1,752,372

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Solution

The third proportional to 826,588 and 1,752,372 is: 3,715,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,588 : 1,752,372 = 1,752,372 : x
  2. Step 2: Convert to fraction form
    826,588/1,752,372 = 1,752,372/x
  3. Step 3: Cross multiply
    826,588x = 1,752,372 × 1,752,372
  4. Step 4: Simplify right side
    826,588x = 3,070,807,626,384
  5. Step 5: Solve for x
    x = 3,070,807,626,384/826,588
  6. Step 6: Final answer
    x = 3,715,040.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.