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Finding the Third Proportional to 666,029.25 and 1,005,037.88

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Solution

The third proportional to 666,029.25 and 1,005,037.88 is: 1,516,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,029.25 : 1,005,037.88 = 1,005,037.88 : x
  2. Step 2: Convert to fraction form
    666,029.25/1,005,037.88 = 1,005,037.88/x
  3. Step 3: Cross multiply
    666,029.25x = 1,005,037.88 × 1,005,037.88
  4. Step 4: Simplify right side
    666,029.25x = 1,010,101,130,184.52
  5. Step 5: Solve for x
    x = 1,010,101,130,184.52/666,029.25
  6. Step 6: Final answer
    x = 1,516,601.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.