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Finding the Third Proportional to 410,000 and 900,716

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Solution

The third proportional to 410,000 and 900,716 is: 1,978,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,000 : 900,716 = 900,716 : x
  2. Step 2: Convert to fraction form
    410,000/900,716 = 900,716/x
  3. Step 3: Cross multiply
    410,000x = 900,716 × 900,716
  4. Step 4: Simplify right side
    410,000x = 811,289,312,656
  5. Step 5: Solve for x
    x = 811,289,312,656/410,000
  6. Step 6: Final answer
    x = 1,978,754.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.