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Finding the Third Proportional to 375,726 and 886,041

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Solution

The third proportional to 375,726 and 886,041 is: 2,089,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,726 : 886,041 = 886,041 : x
  2. Step 2: Convert to fraction form
    375,726/886,041 = 886,041/x
  3. Step 3: Cross multiply
    375,726x = 886,041 × 886,041
  4. Step 4: Simplify right side
    375,726x = 785,068,653,681
  5. Step 5: Solve for x
    x = 785,068,653,681/375,726
  6. Step 6: Final answer
    x = 2,089,471.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.