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Finding the Third Proportional to 2,032,363.50 and 3,145,857.75

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Solution

The third proportional to 2,032,363.50 and 3,145,857.75 is: 4,869,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,363.50 : 3,145,857.75 = 3,145,857.75 : x
  2. Step 2: Convert to fraction form
    2,032,363.50/3,145,857.75 = 3,145,857.75/x
  3. Step 3: Cross multiply
    2,032,363.50x = 3,145,857.75 × 3,145,857.75
  4. Step 4: Simplify right side
    2,032,363.50x = 9,896,420,983,235.06
  5. Step 5: Solve for x
    x = 9,896,420,983,235.06/2,032,363.50
  6. Step 6: Final answer
    x = 4,869,414.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.