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Finding the Third Proportional to 996,381 and 1,586,208

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Solution

The third proportional to 996,381 and 1,586,208 is: 2,525,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,381 : 1,586,208 = 1,586,208 : x
  2. Step 2: Convert to fraction form
    996,381/1,586,208 = 1,586,208/x
  3. Step 3: Cross multiply
    996,381x = 1,586,208 × 1,586,208
  4. Step 4: Simplify right side
    996,381x = 2,516,055,819,264
  5. Step 5: Solve for x
    x = 2,516,055,819,264/996,381
  6. Step 6: Final answer
    x = 2,525,194.50

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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.