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Finding the Third Proportional to 683,002 and 1,002,359

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Solution

The third proportional to 683,002 and 1,002,359 is: 1,471,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,002 : 1,002,359 = 1,002,359 : x
  2. Step 2: Convert to fraction form
    683,002/1,002,359 = 1,002,359/x
  3. Step 3: Cross multiply
    683,002x = 1,002,359 × 1,002,359
  4. Step 4: Simplify right side
    683,002x = 1,004,723,564,881
  5. Step 5: Solve for x
    x = 1,004,723,564,881/683,002
  6. Step 6: Final answer
    x = 1,471,040.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.