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Finding the Third Proportional to 4,520,870 and 6,781,314

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Solution

The third proportional to 4,520,870 and 6,781,314 is: 10,171,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520,870 : 6,781,314 = 6,781,314 : x
  2. Step 2: Convert to fraction form
    4,520,870/6,781,314 = 6,781,314/x
  3. Step 3: Cross multiply
    4,520,870x = 6,781,314 × 6,781,314
  4. Step 4: Simplify right side
    4,520,870x = 45,986,219,566,596
  5. Step 5: Solve for x
    x = 45,986,219,566,596/4,520,870
  6. Step 6: Final answer
    x = 10,171,984.50

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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.