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Finding the Third Proportional to 690,112 and 1,463,168

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Solution

The third proportional to 690,112 and 1,463,168 is: 3,102,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,112 : 1,463,168 = 1,463,168 : x
  2. Step 2: Convert to fraction form
    690,112/1,463,168 = 1,463,168/x
  3. Step 3: Cross multiply
    690,112x = 1,463,168 × 1,463,168
  4. Step 4: Simplify right side
    690,112x = 2,140,860,596,224
  5. Step 5: Solve for x
    x = 2,140,860,596,224/690,112
  6. Step 6: Final answer
    x = 3,102,192.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.