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Finding the Third Proportional to 941,176 and 1,420,540

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Solution

The third proportional to 941,176 and 1,420,540 is: 2,144,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,176 : 1,420,540 = 1,420,540 : x
  2. Step 2: Convert to fraction form
    941,176/1,420,540 = 1,420,540/x
  3. Step 3: Cross multiply
    941,176x = 1,420,540 × 1,420,540
  4. Step 4: Simplify right side
    941,176x = 2,017,933,891,600
  5. Step 5: Solve for x
    x = 2,017,933,891,600/941,176
  6. Step 6: Final answer
    x = 2,144,055.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.