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Finding the Third Proportional to 1,756,737.56 and 4,232,052.56

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Solution

The third proportional to 1,756,737.56 and 4,232,052.56 is: 10,195,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,737.56 : 4,232,052.56 = 4,232,052.56 : x
  2. Step 2: Convert to fraction form
    1,756,737.56/4,232,052.56 = 4,232,052.56/x
  3. Step 3: Cross multiply
    1,756,737.56x = 4,232,052.56 × 4,232,052.56
  4. Step 4: Simplify right side
    1,756,737.56x = 17,910,268,891,762.82
  5. Step 5: Solve for x
    x = 17,910,268,891,762.82/1,756,737.56
  6. Step 6: Final answer
    x = 10,195,187.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.