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Finding the Third Proportional to 4,542,457.50 and 6,982,074

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Solution

The third proportional to 4,542,457.50 and 6,982,074 is: 10,731,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,457.50 : 6,982,074 = 6,982,074 : x
  2. Step 2: Convert to fraction form
    4,542,457.50/6,982,074 = 6,982,074/x
  3. Step 3: Cross multiply
    4,542,457.50x = 6,982,074 × 6,982,074
  4. Step 4: Simplify right side
    4,542,457.50x = 48,749,357,341,476
  5. Step 5: Solve for x
    x = 48,749,357,341,476/4,542,457.50
  6. Step 6: Final answer
    x = 10,731,934.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.