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Finding the Third Proportional to 493,520 and 1,057,120

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Solution

The third proportional to 493,520 and 1,057,120 is: 2,264,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,520 : 1,057,120 = 1,057,120 : x
  2. Step 2: Convert to fraction form
    493,520/1,057,120 = 1,057,120/x
  3. Step 3: Cross multiply
    493,520x = 1,057,120 × 1,057,120
  4. Step 4: Simplify right side
    493,520x = 1,117,502,694,400
  5. Step 5: Solve for x
    x = 1,117,502,694,400/493,520
  6. Step 6: Final answer
    x = 2,264,351.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.