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Finding the Third Proportional to 2,969,626 and 4,631,910

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Solution

The third proportional to 2,969,626 and 4,631,910 is: 7,224,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,626 : 4,631,910 = 4,631,910 : x
  2. Step 2: Convert to fraction form
    2,969,626/4,631,910 = 4,631,910/x
  3. Step 3: Cross multiply
    2,969,626x = 4,631,910 × 4,631,910
  4. Step 4: Simplify right side
    2,969,626x = 21,454,590,248,100
  5. Step 5: Solve for x
    x = 21,454,590,248,100/2,969,626
  6. Step 6: Final answer
    x = 7,224,677.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.