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Finding the Third Proportional to 2,378,970 and 3,391,308

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Solution

The third proportional to 2,378,970 and 3,391,308 is: 4,834,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,970 : 3,391,308 = 3,391,308 : x
  2. Step 2: Convert to fraction form
    2,378,970/3,391,308 = 3,391,308/x
  3. Step 3: Cross multiply
    2,378,970x = 3,391,308 × 3,391,308
  4. Step 4: Simplify right side
    2,378,970x = 11,500,969,950,864
  5. Step 5: Solve for x
    x = 11,500,969,950,864/2,378,970
  6. Step 6: Final answer
    x = 4,834,432.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.