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Finding the Third Proportional to 2,479,984 and 3,738,216

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Solution

The third proportional to 2,479,984 and 3,738,216 is: 5,634,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,984 : 3,738,216 = 3,738,216 : x
  2. Step 2: Convert to fraction form
    2,479,984/3,738,216 = 3,738,216/x
  3. Step 3: Cross multiply
    2,479,984x = 3,738,216 × 3,738,216
  4. Step 4: Simplify right side
    2,479,984x = 13,974,258,862,656
  5. Step 5: Solve for x
    x = 13,974,258,862,656/2,479,984
  6. Step 6: Final answer
    x = 5,634,818.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.