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Finding the Third Proportional to 996,363 and 1,586,179

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Solution

The third proportional to 996,363 and 1,586,179 is: 2,525,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,363 : 1,586,179 = 1,586,179 : x
  2. Step 2: Convert to fraction form
    996,363/1,586,179 = 1,586,179/x
  3. Step 3: Cross multiply
    996,363x = 1,586,179 × 1,586,179
  4. Step 4: Simplify right side
    996,363x = 2,515,963,820,041
  5. Step 5: Solve for x
    x = 2,515,963,820,041/996,363
  6. Step 6: Final answer
    x = 2,525,147.78

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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.