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Finding the Third Proportional to 420,600 and 900,240

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Solution

The third proportional to 420,600 and 900,240 is: 1,926,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,600 : 900,240 = 900,240 : x
  2. Step 2: Convert to fraction form
    420,600/900,240 = 900,240/x
  3. Step 3: Cross multiply
    420,600x = 900,240 × 900,240
  4. Step 4: Simplify right side
    420,600x = 810,432,057,600
  5. Step 5: Solve for x
    x = 810,432,057,600/420,600
  6. Step 6: Final answer
    x = 1,926,847.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.