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Finding the Third Proportional to 878,400 and 1,193,176

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Solution

The third proportional to 878,400 and 1,193,176 is: 1,620,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,400 : 1,193,176 = 1,193,176 : x
  2. Step 2: Convert to fraction form
    878,400/1,193,176 = 1,193,176/x
  3. Step 3: Cross multiply
    878,400x = 1,193,176 × 1,193,176
  4. Step 4: Simplify right side
    878,400x = 1,423,668,966,976
  5. Step 5: Solve for x
    x = 1,423,668,966,976/878,400
  6. Step 6: Final answer
    x = 1,620,752.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.