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Finding the Third Proportional to 4,268,340 and 6,510,912

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Solution

The third proportional to 4,268,340 and 6,510,912 is: 9,931,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268,340 : 6,510,912 = 6,510,912 : x
  2. Step 2: Convert to fraction form
    4,268,340/6,510,912 = 6,510,912/x
  3. Step 3: Cross multiply
    4,268,340x = 6,510,912 × 6,510,912
  4. Step 4: Simplify right side
    4,268,340x = 42,391,975,071,744
  5. Step 5: Solve for x
    x = 42,391,975,071,744/4,268,340
  6. Step 6: Final answer
    x = 9,931,724.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.