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Finding the Third Proportional to 4,073,226.75 and 5,610,920.63

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Solution

The third proportional to 4,073,226.75 and 5,610,920.63 is: 7,729,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073,226.75 : 5,610,920.63 = 5,610,920.63 : x
  2. Step 2: Convert to fraction form
    4,073,226.75/5,610,920.63 = 5,610,920.63/x
  3. Step 3: Cross multiply
    4,073,226.75x = 5,610,920.63 × 5,610,920.63
  4. Step 4: Simplify right side
    4,073,226.75x = 31,482,430,260,050.39
  5. Step 5: Solve for x
    x = 31,482,430,260,050.39/4,073,226.75
  6. Step 6: Final answer
    x = 7,729,113.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.