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Finding the Third Proportional to 1,238,527.13 and 1,889,811

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Solution

The third proportional to 1,238,527.13 and 1,889,811 is: 2,883,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,527.13 : 1,889,811 = 1,889,811 : x
  2. Step 2: Convert to fraction form
    1,238,527.13/1,889,811 = 1,889,811/x
  3. Step 3: Cross multiply
    1,238,527.13x = 1,889,811 × 1,889,811
  4. Step 4: Simplify right side
    1,238,527.13x = 3,571,385,615,721
  5. Step 5: Solve for x
    x = 3,571,385,615,721/1,238,527.13
  6. Step 6: Final answer
    x = 2,883,574.81

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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.