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Finding the Third Proportional to 490,403 and 1,050,790

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Solution

The third proportional to 490,403 and 1,050,790 is: 2,251,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,403 : 1,050,790 = 1,050,790 : x
  2. Step 2: Convert to fraction form
    490,403/1,050,790 = 1,050,790/x
  3. Step 3: Cross multiply
    490,403x = 1,050,790 × 1,050,790
  4. Step 4: Simplify right side
    490,403x = 1,104,159,624,100
  5. Step 5: Solve for x
    x = 1,104,159,624,100/490,403
  6. Step 6: Final answer
    x = 2,251,535.22

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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.