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Finding the Third Proportional to 906,448 and 1,226,718

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Solution

The third proportional to 906,448 and 1,226,718 is: 1,660,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,448 : 1,226,718 = 1,226,718 : x
  2. Step 2: Convert to fraction form
    906,448/1,226,718 = 1,226,718/x
  3. Step 3: Cross multiply
    906,448x = 1,226,718 × 1,226,718
  4. Step 4: Simplify right side
    906,448x = 1,504,837,051,524
  5. Step 5: Solve for x
    x = 1,504,837,051,524/906,448
  6. Step 6: Final answer
    x = 1,660,147.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.