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Finding the Third Proportional to 1,001,530 and 2,160,340

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Solution

The third proportional to 1,001,530 and 2,160,340 is: 4,659,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,530 : 2,160,340 = 2,160,340 : x
  2. Step 2: Convert to fraction form
    1,001,530/2,160,340 = 2,160,340/x
  3. Step 3: Cross multiply
    1,001,530x = 2,160,340 × 2,160,340
  4. Step 4: Simplify right side
    1,001,530x = 4,667,068,915,600
  5. Step 5: Solve for x
    x = 4,667,068,915,600/1,001,530
  6. Step 6: Final answer
    x = 4,659,939.21

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