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Finding the Third Proportional to 401,814 and 880,710

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Solution

The third proportional to 401,814 and 880,710 is: 1,930,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,814 : 880,710 = 880,710 : x
  2. Step 2: Convert to fraction form
    401,814/880,710 = 880,710/x
  3. Step 3: Cross multiply
    401,814x = 880,710 × 880,710
  4. Step 4: Simplify right side
    401,814x = 775,650,104,100
  5. Step 5: Solve for x
    x = 775,650,104,100/401,814
  6. Step 6: Final answer
    x = 1,930,371.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.