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Finding the Third Proportional to 457,990.88 and 976,847.63

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Solution

The third proportional to 457,990.88 and 976,847.63 is: 2,083,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,990.88 : 976,847.63 = 976,847.63 : x
  2. Step 2: Convert to fraction form
    457,990.88/976,847.63 = 976,847.63/x
  3. Step 3: Cross multiply
    457,990.88x = 976,847.63 × 976,847.63
  4. Step 4: Simplify right side
    457,990.88x = 954,231,282,468.14
  5. Step 5: Solve for x
    x = 954,231,282,468.14/457,990.88
  6. Step 6: Final answer
    x = 2,083,515.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.