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Finding the Third Proportional to 638,332 and 1,383,034

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Solution

The third proportional to 638,332 and 1,383,034 is: 2,996,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,332 : 1,383,034 = 1,383,034 : x
  2. Step 2: Convert to fraction form
    638,332/1,383,034 = 1,383,034/x
  3. Step 3: Cross multiply
    638,332x = 1,383,034 × 1,383,034
  4. Step 4: Simplify right side
    638,332x = 1,912,783,045,156
  5. Step 5: Solve for x
    x = 1,912,783,045,156/638,332
  6. Step 6: Final answer
    x = 2,996,533.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.