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Finding the Third Proportional to 827,202.38 and 1,737,875.25

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Solution

The third proportional to 827,202.38 and 1,737,875.25 is: 3,651,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,202.38 : 1,737,875.25 = 1,737,875.25 : x
  2. Step 2: Convert to fraction form
    827,202.38/1,737,875.25 = 1,737,875.25/x
  3. Step 3: Cross multiply
    827,202.38x = 1,737,875.25 × 1,737,875.25
  4. Step 4: Simplify right side
    827,202.38x = 3,020,210,384,562.56
  5. Step 5: Solve for x
    x = 3,020,210,384,562.56/827,202.38
  6. Step 6: Final answer
    x = 3,651,114.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.