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Finding the Third Proportional to 457,057 and 990,382

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Solution

The third proportional to 457,057 and 990,382 is: 2,146,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,057 : 990,382 = 990,382 : x
  2. Step 2: Convert to fraction form
    457,057/990,382 = 990,382/x
  3. Step 3: Cross multiply
    457,057x = 990,382 × 990,382
  4. Step 4: Simplify right side
    457,057x = 980,856,505,924
  5. Step 5: Solve for x
    x = 980,856,505,924/457,057
  6. Step 6: Final answer
    x = 2,146,026.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.