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Finding the Third Proportional to 485,104 and 1,036,160

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Solution

The third proportional to 485,104 and 1,036,160 is: 2,213,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,104 : 1,036,160 = 1,036,160 : x
  2. Step 2: Convert to fraction form
    485,104/1,036,160 = 1,036,160/x
  3. Step 3: Cross multiply
    485,104x = 1,036,160 × 1,036,160
  4. Step 4: Simplify right side
    485,104x = 1,073,627,545,600
  5. Step 5: Solve for x
    x = 1,073,627,545,600/485,104
  6. Step 6: Final answer
    x = 2,213,190.46

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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.