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Finding the Third Proportional to 596,186 and 886,179

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Solution

The third proportional to 596,186 and 886,179 is: 1,317,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,186 : 886,179 = 886,179 : x
  2. Step 2: Convert to fraction form
    596,186/886,179 = 886,179/x
  3. Step 3: Cross multiply
    596,186x = 886,179 × 886,179
  4. Step 4: Simplify right side
    596,186x = 785,313,220,041
  5. Step 5: Solve for x
    x = 785,313,220,041/596,186
  6. Step 6: Final answer
    x = 1,317,228.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.