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Finding the Third Proportional to 467,602.88 and 1,005,134.63

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Solution

The third proportional to 467,602.88 and 1,005,134.63 is: 2,160,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,602.88 : 1,005,134.63 = 1,005,134.63 : x
  2. Step 2: Convert to fraction form
    467,602.88/1,005,134.63 = 1,005,134.63/x
  3. Step 3: Cross multiply
    467,602.88x = 1,005,134.63 × 1,005,134.63
  4. Step 4: Simplify right side
    467,602.88x = 1,010,295,614,373.89
  5. Step 5: Solve for x
    x = 1,010,295,614,373.89/467,602.88
  6. Step 6: Final answer
    x = 2,160,584.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.