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Finding the Third Proportional to 4,517,460 and 6,786,216

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Solution

The third proportional to 4,517,460 and 6,786,216 is: 10,194,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517,460 : 6,786,216 = 6,786,216 : x
  2. Step 2: Convert to fraction form
    4,517,460/6,786,216 = 6,786,216/x
  3. Step 3: Cross multiply
    4,517,460x = 6,786,216 × 6,786,216
  4. Step 4: Simplify right side
    4,517,460x = 46,052,727,598,656
  5. Step 5: Solve for x
    x = 46,052,727,598,656/4,517,460
  6. Step 6: Final answer
    x = 10,194,385.25

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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.