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Finding the Third Proportional to 1,164,590 and 2,469,146

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Solution

The third proportional to 1,164,590 and 2,469,146 is: 5,235,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,590 : 2,469,146 = 2,469,146 : x
  2. Step 2: Convert to fraction form
    1,164,590/2,469,146 = 2,469,146/x
  3. Step 3: Cross multiply
    1,164,590x = 2,469,146 × 2,469,146
  4. Step 4: Simplify right side
    1,164,590x = 6,096,681,969,316
  5. Step 5: Solve for x
    x = 6,096,681,969,316/1,164,590
  6. Step 6: Final answer
    x = 5,235,045.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.