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Finding the Third Proportional to 929,161.13 and 2,057,298.75

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Solution

The third proportional to 929,161.13 and 2,057,298.75 is: 4,555,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,161.13 : 2,057,298.75 = 2,057,298.75 : x
  2. Step 2: Convert to fraction form
    929,161.13/2,057,298.75 = 2,057,298.75/x
  3. Step 3: Cross multiply
    929,161.13x = 2,057,298.75 × 2,057,298.75
  4. Step 4: Simplify right side
    929,161.13x = 4,232,478,146,751.56
  5. Step 5: Solve for x
    x = 4,232,478,146,751.56/929,161.13
  6. Step 6: Final answer
    x = 4,555,160.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.