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Finding the Third Proportional to 4,902,912.28 and 5,788,647.28

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Solution

The third proportional to 4,902,912.28 and 5,788,647.28 is: 6,834,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902,912.28 : 5,788,647.28 = 5,788,647.28 : x
  2. Step 2: Convert to fraction form
    4,902,912.28/5,788,647.28 = 5,788,647.28/x
  3. Step 3: Cross multiply
    4,902,912.28x = 5,788,647.28 × 5,788,647.28
  4. Step 4: Simplify right side
    4,902,912.28x = 33,508,437,346,723.02
  5. Step 5: Solve for x
    x = 33,508,437,346,723.02/4,902,912.28
  6. Step 6: Final answer
    x = 6,834,394.63

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.