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Finding the Third Proportional to 1,005,594.75 and 1,488,835.69

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Solution

The third proportional to 1,005,594.75 and 1,488,835.69 is: 2,204,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,594.75 : 1,488,835.69 = 1,488,835.69 : x
  2. Step 2: Convert to fraction form
    1,005,594.75/1,488,835.69 = 1,488,835.69/x
  3. Step 3: Cross multiply
    1,005,594.75x = 1,488,835.69 × 1,488,835.69
  4. Step 4: Simplify right side
    1,005,594.75x = 2,216,631,704,373.60
  5. Step 5: Solve for x
    x = 2,216,631,704,373.60/1,005,594.75
  6. Step 6: Final answer
    x = 2,204,299.20

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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.