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Finding the Third Proportional to 996,387 and 1,586,214

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Solution

The third proportional to 996,387 and 1,586,214 is: 2,525,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,387 : 1,586,214 = 1,586,214 : x
  2. Step 2: Convert to fraction form
    996,387/1,586,214 = 1,586,214/x
  3. Step 3: Cross multiply
    996,387x = 1,586,214 × 1,586,214
  4. Step 4: Simplify right side
    996,387x = 2,516,074,853,796
  5. Step 5: Solve for x
    x = 2,516,074,853,796/996,387
  6. Step 6: Final answer
    x = 2,525,198.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.