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Finding the Third Proportional to 1,182,525 and 1,826,981

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Solution

The third proportional to 1,182,525 and 1,826,981 is: 2,822,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,525 : 1,826,981 = 1,826,981 : x
  2. Step 2: Convert to fraction form
    1,182,525/1,826,981 = 1,826,981/x
  3. Step 3: Cross multiply
    1,182,525x = 1,826,981 × 1,826,981
  4. Step 4: Simplify right side
    1,182,525x = 3,337,859,574,361
  5. Step 5: Solve for x
    x = 3,337,859,574,361/1,182,525
  6. Step 6: Final answer
    x = 2,822,654.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.