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Finding the Third Proportional to 1,134,486 and 2,419,146

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Solution

The third proportional to 1,134,486 and 2,419,146 is: 5,158,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,486 : 2,419,146 = 2,419,146 : x
  2. Step 2: Convert to fraction form
    1,134,486/2,419,146 = 2,419,146/x
  3. Step 3: Cross multiply
    1,134,486x = 2,419,146 × 2,419,146
  4. Step 4: Simplify right side
    1,134,486x = 5,852,267,369,316
  5. Step 5: Solve for x
    x = 5,852,267,369,316/1,134,486
  6. Step 6: Final answer
    x = 5,158,518.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.