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Finding the Third Proportional to 3,578,904 and 5,420,479.50

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Solution

The third proportional to 3,578,904 and 5,420,479.50 is: 8,209,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578,904 : 5,420,479.50 = 5,420,479.50 : x
  2. Step 2: Convert to fraction form
    3,578,904/5,420,479.50 = 5,420,479.50/x
  3. Step 3: Cross multiply
    3,578,904x = 5,420,479.50 × 5,420,479.50
  4. Step 4: Simplify right side
    3,578,904x = 29,381,598,009,920.25
  5. Step 5: Solve for x
    x = 29,381,598,009,920.25/3,578,904
  6. Step 6: Final answer
    x = 8,209,663.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.