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Finding the Third Proportional to 934,504 and 1,420,225

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Solution

The third proportional to 934,504 and 1,420,225 is: 2,158,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,504 : 1,420,225 = 1,420,225 : x
  2. Step 2: Convert to fraction form
    934,504/1,420,225 = 1,420,225/x
  3. Step 3: Cross multiply
    934,504x = 1,420,225 × 1,420,225
  4. Step 4: Simplify right side
    934,504x = 2,017,039,050,625
  5. Step 5: Solve for x
    x = 2,017,039,050,625/934,504
  6. Step 6: Final answer
    x = 2,158,406.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.