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Finding the Third Proportional to 457,072 and 990,414

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Solution

The third proportional to 457,072 and 990,414 is: 2,146,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,072 : 990,414 = 990,414 : x
  2. Step 2: Convert to fraction form
    457,072/990,414 = 990,414/x
  3. Step 3: Cross multiply
    457,072x = 990,414 × 990,414
  4. Step 4: Simplify right side
    457,072x = 980,919,891,396
  5. Step 5: Solve for x
    x = 980,919,891,396/457,072
  6. Step 6: Final answer
    x = 2,146,094.91

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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.