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Finding the Third Proportional to 3,798,944.50 and 5,432,127

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Solution

The third proportional to 3,798,944.50 and 5,432,127 is: 7,767,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798,944.50 : 5,432,127 = 5,432,127 : x
  2. Step 2: Convert to fraction form
    3,798,944.50/5,432,127 = 5,432,127/x
  3. Step 3: Cross multiply
    3,798,944.50x = 5,432,127 × 5,432,127
  4. Step 4: Simplify right side
    3,798,944.50x = 29,508,003,744,129
  5. Step 5: Solve for x
    x = 29,508,003,744,129/3,798,944.50
  6. Step 6: Final answer
    x = 7,767,421.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.