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Finding the Third Proportional to 3,883,234 and 6,078,315

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Solution

The third proportional to 3,883,234 and 6,078,315 is: 9,514,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,234 : 6,078,315 = 6,078,315 : x
  2. Step 2: Convert to fraction form
    3,883,234/6,078,315 = 6,078,315/x
  3. Step 3: Cross multiply
    3,883,234x = 6,078,315 × 6,078,315
  4. Step 4: Simplify right side
    3,883,234x = 36,945,913,239,225
  5. Step 5: Solve for x
    x = 36,945,913,239,225/3,883,234
  6. Step 6: Final answer
    x = 9,514,212.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.