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Finding the Third Proportional to 437,081 and 951,072

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Solution

The third proportional to 437,081 and 951,072 is: 2,069,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,081 : 951,072 = 951,072 : x
  2. Step 2: Convert to fraction form
    437,081/951,072 = 951,072/x
  3. Step 3: Cross multiply
    437,081x = 951,072 × 951,072
  4. Step 4: Simplify right side
    437,081x = 904,537,949,184
  5. Step 5: Solve for x
    x = 904,537,949,184/437,081
  6. Step 6: Final answer
    x = 2,069,497.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.