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Finding the Third Proportional to 701,942 and 1,130,439

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Solution

The third proportional to 701,942 and 1,130,439 is: 1,820,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,942 : 1,130,439 = 1,130,439 : x
  2. Step 2: Convert to fraction form
    701,942/1,130,439 = 1,130,439/x
  3. Step 3: Cross multiply
    701,942x = 1,130,439 × 1,130,439
  4. Step 4: Simplify right side
    701,942x = 1,277,892,332,721
  5. Step 5: Solve for x
    x = 1,277,892,332,721/701,942
  6. Step 6: Final answer
    x = 1,820,509.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.