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Finding the Third Proportional to 673,836.47 and 1,472,024.39

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Solution

The third proportional to 673,836.47 and 1,472,024.39 is: 3,215,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,836.47 : 1,472,024.39 = 1,472,024.39 : x
  2. Step 2: Convert to fraction form
    673,836.47/1,472,024.39 = 1,472,024.39/x
  3. Step 3: Cross multiply
    673,836.47x = 1,472,024.39 × 1,472,024.39
  4. Step 4: Simplify right side
    673,836.47x = 2,166,855,806,594.90
  5. Step 5: Solve for x
    x = 2,166,855,806,594.90/673,836.47
  6. Step 6: Final answer
    x = 3,215,699.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.