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Finding the Third Proportional to 1,005,601.50 and 1,488,840.75

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Solution

The third proportional to 1,005,601.50 and 1,488,840.75 is: 2,204,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,601.50 : 1,488,840.75 = 1,488,840.75 : x
  2. Step 2: Convert to fraction form
    1,005,601.50/1,488,840.75 = 1,488,840.75/x
  3. Step 3: Cross multiply
    1,005,601.50x = 1,488,840.75 × 1,488,840.75
  4. Step 4: Simplify right side
    1,005,601.50x = 2,216,646,778,860.56
  5. Step 5: Solve for x
    x = 2,216,646,778,860.56/1,005,601.50
  6. Step 6: Final answer
    x = 2,204,299.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.