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Finding the Third Proportional to 996,370 and 1,586,192

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Solution

The third proportional to 996,370 and 1,586,192 is: 2,525,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,370 : 1,586,192 = 1,586,192 : x
  2. Step 2: Convert to fraction form
    996,370/1,586,192 = 1,586,192/x
  3. Step 3: Cross multiply
    996,370x = 1,586,192 × 1,586,192
  4. Step 4: Simplify right side
    996,370x = 2,516,005,060,864
  5. Step 5: Solve for x
    x = 2,516,005,060,864/996,370
  6. Step 6: Final answer
    x = 2,525,171.43

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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.