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Finding the Third Proportional to 681,974 and 1,048,545

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Solution

The third proportional to 681,974 and 1,048,545 is: 1,612,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,974 : 1,048,545 = 1,048,545 : x
  2. Step 2: Convert to fraction form
    681,974/1,048,545 = 1,048,545/x
  3. Step 3: Cross multiply
    681,974x = 1,048,545 × 1,048,545
  4. Step 4: Simplify right side
    681,974x = 1,099,446,617,025
  5. Step 5: Solve for x
    x = 1,099,446,617,025/681,974
  6. Step 6: Final answer
    x = 1,612,153.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.