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Finding the Third Proportional to 1,882,976 and 2,787,888

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Solution

The third proportional to 1,882,976 and 2,787,888 is: 4,127,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,976 : 2,787,888 = 2,787,888 : x
  2. Step 2: Convert to fraction form
    1,882,976/2,787,888 = 2,787,888/x
  3. Step 3: Cross multiply
    1,882,976x = 2,787,888 × 2,787,888
  4. Step 4: Simplify right side
    1,882,976x = 7,772,319,500,544
  5. Step 5: Solve for x
    x = 7,772,319,500,544/1,882,976
  6. Step 6: Final answer
    x = 4,127,678.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.