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Finding the Third Proportional to 908,960 and 1,422,768

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Solution

The third proportional to 908,960 and 1,422,768 is: 2,227,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,960 : 1,422,768 = 1,422,768 : x
  2. Step 2: Convert to fraction form
    908,960/1,422,768 = 1,422,768/x
  3. Step 3: Cross multiply
    908,960x = 1,422,768 × 1,422,768
  4. Step 4: Simplify right side
    908,960x = 2,024,268,781,824
  5. Step 5: Solve for x
    x = 2,024,268,781,824/908,960
  6. Step 6: Final answer
    x = 2,227,016.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.