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Finding the Third Proportional to 1,186,102 and 2,543,818

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Solution

The third proportional to 1,186,102 and 2,543,818 is: 5,455,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,102 : 2,543,818 = 2,543,818 : x
  2. Step 2: Convert to fraction form
    1,186,102/2,543,818 = 2,543,818/x
  3. Step 3: Cross multiply
    1,186,102x = 2,543,818 × 2,543,818
  4. Step 4: Simplify right side
    1,186,102x = 6,471,010,017,124
  5. Step 5: Solve for x
    x = 6,471,010,017,124/1,186,102
  6. Step 6: Final answer
    x = 5,455,694.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.