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Finding the Third Proportional to 683,010 and 1,002,357

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Solution

The third proportional to 683,010 and 1,002,357 is: 1,471,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,010 : 1,002,357 = 1,002,357 : x
  2. Step 2: Convert to fraction form
    683,010/1,002,357 = 1,002,357/x
  3. Step 3: Cross multiply
    683,010x = 1,002,357 × 1,002,357
  4. Step 4: Simplify right side
    683,010x = 1,004,719,555,449
  5. Step 5: Solve for x
    x = 1,004,719,555,449/683,010
  6. Step 6: Final answer
    x = 1,471,017.34

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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.