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Finding the Third Proportional to 638,316.50 and 1,383,006

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Solution

The third proportional to 638,316.50 and 1,383,006 is: 2,996,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,316.50 : 1,383,006 = 1,383,006 : x
  2. Step 2: Convert to fraction form
    638,316.50/1,383,006 = 1,383,006/x
  3. Step 3: Cross multiply
    638,316.50x = 1,383,006 × 1,383,006
  4. Step 4: Simplify right side
    638,316.50x = 1,912,705,596,036
  5. Step 5: Solve for x
    x = 1,912,705,596,036/638,316.50
  6. Step 6: Final answer
    x = 2,996,484.65

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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.