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Finding the Third Proportional to 705,937 and 1,060,517

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Solution

The third proportional to 705,937 and 1,060,517 is: 1,593,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,937 : 1,060,517 = 1,060,517 : x
  2. Step 2: Convert to fraction form
    705,937/1,060,517 = 1,060,517/x
  3. Step 3: Cross multiply
    705,937x = 1,060,517 × 1,060,517
  4. Step 4: Simplify right side
    705,937x = 1,124,696,307,289
  5. Step 5: Solve for x
    x = 1,124,696,307,289/705,937
  6. Step 6: Final answer
    x = 1,593,196.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.