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Finding the Third Proportional to 1,637,177.91 and 3,444,013.69

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Solution

The third proportional to 1,637,177.91 and 3,444,013.69 is: 7,244,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,177.91 : 3,444,013.69 = 3,444,013.69 : x
  2. Step 2: Convert to fraction form
    1,637,177.91/3,444,013.69 = 3,444,013.69/x
  3. Step 3: Cross multiply
    1,637,177.91x = 3,444,013.69 × 3,444,013.69
  4. Step 4: Simplify right side
    1,637,177.91x = 11,861,230,279,687.35
  5. Step 5: Solve for x
    x = 11,861,230,279,687.35/1,637,177.91
  6. Step 6: Final answer
    x = 7,244,924.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.