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Finding the Third Proportional to 4,229,280 and 6,345,216

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Solution

The third proportional to 4,229,280 and 6,345,216 is: 9,519,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229,280 : 6,345,216 = 6,345,216 : x
  2. Step 2: Convert to fraction form
    4,229,280/6,345,216 = 6,345,216/x
  3. Step 3: Cross multiply
    4,229,280x = 6,345,216 × 6,345,216
  4. Step 4: Simplify right side
    4,229,280x = 40,261,766,086,656
  5. Step 5: Solve for x
    x = 40,261,766,086,656/4,229,280
  6. Step 6: Final answer
    x = 9,519,768.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.