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Finding the Third Proportional to 1,182,521 and 1,826,974.50

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Solution

The third proportional to 1,182,521 and 1,826,974.50 is: 2,822,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,521 : 1,826,974.50 = 1,826,974.50 : x
  2. Step 2: Convert to fraction form
    1,182,521/1,826,974.50 = 1,826,974.50/x
  3. Step 3: Cross multiply
    1,182,521x = 1,826,974.50 × 1,826,974.50
  4. Step 4: Simplify right side
    1,182,521x = 3,337,835,823,650.25
  5. Step 5: Solve for x
    x = 3,337,835,823,650.25/1,182,521
  6. Step 6: Final answer
    x = 2,822,644.02

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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.