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Finding the Third Proportional to 606,186.38 and 911,810.25

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Solution

The third proportional to 606,186.38 and 911,810.25 is: 1,371,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,186.38 : 911,810.25 = 911,810.25 : x
  2. Step 2: Convert to fraction form
    606,186.38/911,810.25 = 911,810.25/x
  3. Step 3: Cross multiply
    606,186.38x = 911,810.25 × 911,810.25
  4. Step 4: Simplify right side
    606,186.38x = 831,397,932,005.06
  5. Step 5: Solve for x
    x = 831,397,932,005.06/606,186.38
  6. Step 6: Final answer
    x = 1,371,521.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.