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Finding the Third Proportional to 1,188,209 and 2,565,811

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Solution

The third proportional to 1,188,209 and 2,565,811 is: 5,540,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,209 : 2,565,811 = 2,565,811 : x
  2. Step 2: Convert to fraction form
    1,188,209/2,565,811 = 2,565,811/x
  3. Step 3: Cross multiply
    1,188,209x = 2,565,811 × 2,565,811
  4. Step 4: Simplify right side
    1,188,209x = 6,583,386,087,721
  5. Step 5: Solve for x
    x = 6,583,386,087,721/1,188,209
  6. Step 6: Final answer
    x = 5,540,596.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.