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Finding the Third Proportional to 2,430,384 and 5,234,718

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Solution

The third proportional to 2,430,384 and 5,234,718 is: 11,274,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,384 : 5,234,718 = 5,234,718 : x
  2. Step 2: Convert to fraction form
    2,430,384/5,234,718 = 5,234,718/x
  3. Step 3: Cross multiply
    2,430,384x = 5,234,718 × 5,234,718
  4. Step 4: Simplify right side
    2,430,384x = 27,402,272,539,524
  5. Step 5: Solve for x
    x = 27,402,272,539,524/2,430,384
  6. Step 6: Final answer
    x = 11,274,873.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.