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Finding the Third Proportional to 878,152 and 1,825,208

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Solution

The third proportional to 878,152 and 1,825,208 is: 3,793,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,152 : 1,825,208 = 1,825,208 : x
  2. Step 2: Convert to fraction form
    878,152/1,825,208 = 1,825,208/x
  3. Step 3: Cross multiply
    878,152x = 1,825,208 × 1,825,208
  4. Step 4: Simplify right side
    878,152x = 3,331,384,243,264
  5. Step 5: Solve for x
    x = 3,331,384,243,264/878,152
  6. Step 6: Final answer
    x = 3,793,630.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.