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Finding the Third Proportional to 1,421,238.94 and 2,186,751.66

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Solution

The third proportional to 1,421,238.94 and 2,186,751.66 is: 3,364,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,238.94 : 2,186,751.66 = 2,186,751.66 : x
  2. Step 2: Convert to fraction form
    1,421,238.94/2,186,751.66 = 2,186,751.66/x
  3. Step 3: Cross multiply
    1,421,238.94x = 2,186,751.66 × 2,186,751.66
  4. Step 4: Simplify right side
    1,421,238.94x = 4,781,882,806,112.12
  5. Step 5: Solve for x
    x = 4,781,882,806,112.12/1,421,238.94
  6. Step 6: Final answer
    x = 3,364,587.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.