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Finding the Third Proportional to 971,184 and 1,980,888

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Solution

The third proportional to 971,184 and 1,980,888 is: 4,040,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,184 : 1,980,888 = 1,980,888 : x
  2. Step 2: Convert to fraction form
    971,184/1,980,888 = 1,980,888/x
  3. Step 3: Cross multiply
    971,184x = 1,980,888 × 1,980,888
  4. Step 4: Simplify right side
    971,184x = 3,923,917,268,544
  5. Step 5: Solve for x
    x = 3,923,917,268,544/971,184
  6. Step 6: Final answer
    x = 4,040,343.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.