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Finding the Third Proportional to 932,170 and 1,986,356

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Solution

The third proportional to 932,170 and 1,986,356 is: 4,232,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,170 : 1,986,356 = 1,986,356 : x
  2. Step 2: Convert to fraction form
    932,170/1,986,356 = 1,986,356/x
  3. Step 3: Cross multiply
    932,170x = 1,986,356 × 1,986,356
  4. Step 4: Simplify right side
    932,170x = 3,945,610,158,736
  5. Step 5: Solve for x
    x = 3,945,610,158,736/932,170
  6. Step 6: Final answer
    x = 4,232,715.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.