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Finding the Third Proportional to 498,972 and 1,088,232

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Solution

The third proportional to 498,972 and 1,088,232 is: 2,373,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,972 : 1,088,232 = 1,088,232 : x
  2. Step 2: Convert to fraction form
    498,972/1,088,232 = 1,088,232/x
  3. Step 3: Cross multiply
    498,972x = 1,088,232 × 1,088,232
  4. Step 4: Simplify right side
    498,972x = 1,184,248,885,824
  5. Step 5: Solve for x
    x = 1,184,248,885,824/498,972
  6. Step 6: Final answer
    x = 2,373,377.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.