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Finding the Third Proportional to 485,034 and 1,001,205

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Solution

The third proportional to 485,034 and 1,001,205 is: 2,066,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,034 : 1,001,205 = 1,001,205 : x
  2. Step 2: Convert to fraction form
    485,034/1,001,205 = 1,001,205/x
  3. Step 3: Cross multiply
    485,034x = 1,001,205 × 1,001,205
  4. Step 4: Simplify right side
    485,034x = 1,002,411,452,025
  5. Step 5: Solve for x
    x = 1,002,411,452,025/485,034
  6. Step 6: Final answer
    x = 2,066,682.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.