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Finding the Third Proportional to 614,188.69 and 1,328,979.38

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Solution

The third proportional to 614,188.69 and 1,328,979.38 is: 2,875,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,188.69 : 1,328,979.38 = 1,328,979.38 : x
  2. Step 2: Convert to fraction form
    614,188.69/1,328,979.38 = 1,328,979.38/x
  3. Step 3: Cross multiply
    614,188.69x = 1,328,979.38 × 1,328,979.38
  4. Step 4: Simplify right side
    614,188.69x = 1,766,186,179,175.39
  5. Step 5: Solve for x
    x = 1,766,186,179,175.39/614,188.69
  6. Step 6: Final answer
    x = 2,875,641.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.