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Finding the Third Proportional to 421,540 and 1,015,906

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Solution

The third proportional to 421,540 and 1,015,906 is: 2,448,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,540 : 1,015,906 = 1,015,906 : x
  2. Step 2: Convert to fraction form
    421,540/1,015,906 = 1,015,906/x
  3. Step 3: Cross multiply
    421,540x = 1,015,906 × 1,015,906
  4. Step 4: Simplify right side
    421,540x = 1,032,065,000,836
  5. Step 5: Solve for x
    x = 1,032,065,000,836/421,540
  6. Step 6: Final answer
    x = 2,448,320.45

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