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Finding the Third Proportional to 1,165,099 and 2,492,121

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Solution

The third proportional to 1,165,099 and 2,492,121 is: 5,330,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,099 : 2,492,121 = 2,492,121 : x
  2. Step 2: Convert to fraction form
    1,165,099/2,492,121 = 2,492,121/x
  3. Step 3: Cross multiply
    1,165,099x = 2,492,121 × 2,492,121
  4. Step 4: Simplify right side
    1,165,099x = 6,210,667,078,641
  5. Step 5: Solve for x
    x = 6,210,667,078,641/1,165,099
  6. Step 6: Final answer
    x = 5,330,591.72

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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.