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Finding the Third Proportional to 818,641.69 and 1,172,257.31

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Solution

The third proportional to 818,641.69 and 1,172,257.31 is: 1,678,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,641.69 : 1,172,257.31 = 1,172,257.31 : x
  2. Step 2: Convert to fraction form
    818,641.69/1,172,257.31 = 1,172,257.31/x
  3. Step 3: Cross multiply
    818,641.69x = 1,172,257.31 × 1,172,257.31
  4. Step 4: Simplify right side
    818,641.69x = 1,374,187,206,709.72
  5. Step 5: Solve for x
    x = 1,374,187,206,709.72/818,641.69
  6. Step 6: Final answer
    x = 1,678,618.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.