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Finding the Third Proportional to 999,198 and 1,472,337

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Solution

The third proportional to 999,198 and 1,472,337 is: 2,169,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,198 : 1,472,337 = 1,472,337 : x
  2. Step 2: Convert to fraction form
    999,198/1,472,337 = 1,472,337/x
  3. Step 3: Cross multiply
    999,198x = 1,472,337 × 1,472,337
  4. Step 4: Simplify right side
    999,198x = 2,167,776,241,569
  5. Step 5: Solve for x
    x = 2,167,776,241,569/999,198
  6. Step 6: Final answer
    x = 2,169,516.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.