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Finding the Third Proportional to 764,192 and 1,148,208

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Solution

The third proportional to 764,192 and 1,148,208 is: 1,725,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,192 : 1,148,208 = 1,148,208 : x
  2. Step 2: Convert to fraction form
    764,192/1,148,208 = 1,148,208/x
  3. Step 3: Cross multiply
    764,192x = 1,148,208 × 1,148,208
  4. Step 4: Simplify right side
    764,192x = 1,318,381,611,264
  5. Step 5: Solve for x
    x = 1,318,381,611,264/764,192
  6. Step 6: Final answer
    x = 1,725,196.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.