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Finding the Third Proportional to 1,221,680 and 1,864,119

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Solution

The third proportional to 1,221,680 and 1,864,119 is: 2,844,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,680 : 1,864,119 = 1,864,119 : x
  2. Step 2: Convert to fraction form
    1,221,680/1,864,119 = 1,864,119/x
  3. Step 3: Cross multiply
    1,221,680x = 1,864,119 × 1,864,119
  4. Step 4: Simplify right side
    1,221,680x = 3,474,939,646,161
  5. Step 5: Solve for x
    x = 3,474,939,646,161/1,221,680
  6. Step 6: Final answer
    x = 2,844,394.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.