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Finding the Third Proportional to 484,900 and 1,057,910

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Solution

The third proportional to 484,900 and 1,057,910 is: 2,308,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,900 : 1,057,910 = 1,057,910 : x
  2. Step 2: Convert to fraction form
    484,900/1,057,910 = 1,057,910/x
  3. Step 3: Cross multiply
    484,900x = 1,057,910 × 1,057,910
  4. Step 4: Simplify right side
    484,900x = 1,119,173,568,100
  5. Step 5: Solve for x
    x = 1,119,173,568,100/484,900
  6. Step 6: Final answer
    x = 2,308,050.25

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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.