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Finding the Third Proportional to 1,217,803.50 and 1,855,413

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Solution

The third proportional to 1,217,803.50 and 1,855,413 is: 2,826,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,803.50 : 1,855,413 = 1,855,413 : x
  2. Step 2: Convert to fraction form
    1,217,803.50/1,855,413 = 1,855,413/x
  3. Step 3: Cross multiply
    1,217,803.50x = 1,855,413 × 1,855,413
  4. Step 4: Simplify right side
    1,217,803.50x = 3,442,557,400,569
  5. Step 5: Solve for x
    x = 3,442,557,400,569/1,217,803.50
  6. Step 6: Final answer
    x = 2,826,857.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.