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Finding the Third Proportional to 961,480 and 1,392,648

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Solution

The third proportional to 961,480 and 1,392,648 is: 2,017,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,480 : 1,392,648 = 1,392,648 : x
  2. Step 2: Convert to fraction form
    961,480/1,392,648 = 1,392,648/x
  3. Step 3: Cross multiply
    961,480x = 1,392,648 × 1,392,648
  4. Step 4: Simplify right side
    961,480x = 1,939,468,451,904
  5. Step 5: Solve for x
    x = 1,939,468,451,904/961,480
  6. Step 6: Final answer
    x = 2,017,169.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.