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Finding the Third Proportional to 2,973,757.78 and 4,731,833.22

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Solution

The third proportional to 2,973,757.78 and 4,731,833.22 is: 7,529,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973,757.78 : 4,731,833.22 = 4,731,833.22 : x
  2. Step 2: Convert to fraction form
    2,973,757.78/4,731,833.22 = 4,731,833.22/x
  3. Step 3: Cross multiply
    2,973,757.78x = 4,731,833.22 × 4,731,833.22
  4. Step 4: Simplify right side
    2,973,757.78x = 22,390,245,610,065.98
  5. Step 5: Solve for x
    x = 22,390,245,610,065.98/2,973,757.78
  6. Step 6: Final answer
    x = 7,529,276.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.