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Finding the Third Proportional to 435,596 and 934,219

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Solution

The third proportional to 435,596 and 934,219 is: 2,003,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,596 : 934,219 = 934,219 : x
  2. Step 2: Convert to fraction form
    435,596/934,219 = 934,219/x
  3. Step 3: Cross multiply
    435,596x = 934,219 × 934,219
  4. Step 4: Simplify right side
    435,596x = 872,765,139,961
  5. Step 5: Solve for x
    x = 872,765,139,961/435,596
  6. Step 6: Final answer
    x = 2,003,611.47

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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.