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Finding the Third Proportional to 779,991 and 1,175,520

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Solution

The third proportional to 779,991 and 1,175,520 is: 1,771,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,991 : 1,175,520 = 1,175,520 : x
  2. Step 2: Convert to fraction form
    779,991/1,175,520 = 1,175,520/x
  3. Step 3: Cross multiply
    779,991x = 1,175,520 × 1,175,520
  4. Step 4: Simplify right side
    779,991x = 1,381,847,270,400
  5. Step 5: Solve for x
    x = 1,381,847,270,400/779,991
  6. Step 6: Final answer
    x = 1,771,619.51

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Why These Related Problems?

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