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Finding the Third Proportional to 685,107 and 1,444,074

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Solution

The third proportional to 685,107 and 1,444,074 is: 3,043,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,107 : 1,444,074 = 1,444,074 : x
  2. Step 2: Convert to fraction form
    685,107/1,444,074 = 1,444,074/x
  3. Step 3: Cross multiply
    685,107x = 1,444,074 × 1,444,074
  4. Step 4: Simplify right side
    685,107x = 2,085,349,717,476
  5. Step 5: Solve for x
    x = 2,085,349,717,476/685,107
  6. Step 6: Final answer
    x = 3,043,830.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.