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Finding the Third Proportional to 1,500,380.44 and 3,285,354.38

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Solution

The third proportional to 1,500,380.44 and 3,285,354.38 is: 7,193,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,380.44 : 3,285,354.38 = 3,285,354.38 : x
  2. Step 2: Convert to fraction form
    1,500,380.44/3,285,354.38 = 3,285,354.38/x
  3. Step 3: Cross multiply
    1,500,380.44x = 3,285,354.38 × 3,285,354.38
  4. Step 4: Simplify right side
    1,500,380.44x = 10,793,553,369,331.64
  5. Step 5: Solve for x
    x = 10,793,553,369,331.64/1,500,380.44
  6. Step 6: Final answer
    x = 7,193,877.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.