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Finding the Third Proportional to 430,872 and 937,539

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Solution

The third proportional to 430,872 and 937,539 is: 2,040,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,872 : 937,539 = 937,539 : x
  2. Step 2: Convert to fraction form
    430,872/937,539 = 937,539/x
  3. Step 3: Cross multiply
    430,872x = 937,539 × 937,539
  4. Step 4: Simplify right side
    430,872x = 878,979,376,521
  5. Step 5: Solve for x
    x = 878,979,376,521/430,872
  6. Step 6: Final answer
    x = 2,040,001.15

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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.