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Finding the Third Proportional to 605,490 and 937,539

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Solution

The third proportional to 605,490 and 937,539 is: 1,451,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,490 : 937,539 = 937,539 : x
  2. Step 2: Convert to fraction form
    605,490/937,539 = 937,539/x
  3. Step 3: Cross multiply
    605,490x = 937,539 × 937,539
  4. Step 4: Simplify right side
    605,490x = 878,979,376,521
  5. Step 5: Solve for x
    x = 878,979,376,521/605,490
  6. Step 6: Final answer
    x = 1,451,682.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.