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Finding the Third Proportional to 701,198 and 1,535,072

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Solution

The third proportional to 701,198 and 1,535,072 is: 3,360,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,198 : 1,535,072 = 1,535,072 : x
  2. Step 2: Convert to fraction form
    701,198/1,535,072 = 1,535,072/x
  3. Step 3: Cross multiply
    701,198x = 1,535,072 × 1,535,072
  4. Step 4: Simplify right side
    701,198x = 2,356,446,045,184
  5. Step 5: Solve for x
    x = 2,356,446,045,184/701,198
  6. Step 6: Final answer
    x = 3,360,600.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.