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Finding the Third Proportional to 1,332,729 and 1,899,406

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Solution

The third proportional to 1,332,729 and 1,899,406 is: 2,707,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,729 : 1,899,406 = 1,899,406 : x
  2. Step 2: Convert to fraction form
    1,332,729/1,899,406 = 1,899,406/x
  3. Step 3: Cross multiply
    1,332,729x = 1,899,406 × 1,899,406
  4. Step 4: Simplify right side
    1,332,729x = 3,607,743,152,836
  5. Step 5: Solve for x
    x = 3,607,743,152,836/1,332,729
  6. Step 6: Final answer
    x = 2,707,034.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.