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Finding the Third Proportional to 1,117,019.11 and 1,674,028.27

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Solution

The third proportional to 1,117,019.11 and 1,674,028.27 is: 2,508,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,019.11 : 1,674,028.27 = 1,674,028.27 : x
  2. Step 2: Convert to fraction form
    1,117,019.11/1,674,028.27 = 1,674,028.27/x
  3. Step 3: Cross multiply
    1,117,019.11x = 1,674,028.27 × 1,674,028.27
  4. Step 4: Simplify right side
    1,117,019.11x = 2,802,370,634,111.45
  5. Step 5: Solve for x
    x = 2,802,370,634,111.45/1,117,019.11
  6. Step 6: Final answer
    x = 2,508,793.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.