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Finding the Third Proportional to 932,166 and 1,986,348

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Solution

The third proportional to 932,166 and 1,986,348 is: 4,232,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,166 : 1,986,348 = 1,986,348 : x
  2. Step 2: Convert to fraction form
    932,166/1,986,348 = 1,986,348/x
  3. Step 3: Cross multiply
    932,166x = 1,986,348 × 1,986,348
  4. Step 4: Simplify right side
    932,166x = 3,945,578,377,104
  5. Step 5: Solve for x
    x = 3,945,578,377,104/932,166
  6. Step 6: Final answer
    x = 4,232,699.30

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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.