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Finding the Third Proportional to 902,031.75 and 1,944,018

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Solution

The third proportional to 902,031.75 and 1,944,018 is: 4,189,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,031.75 : 1,944,018 = 1,944,018 : x
  2. Step 2: Convert to fraction form
    902,031.75/1,944,018 = 1,944,018/x
  3. Step 3: Cross multiply
    902,031.75x = 1,944,018 × 1,944,018
  4. Step 4: Simplify right side
    902,031.75x = 3,779,205,984,324
  5. Step 5: Solve for x
    x = 3,779,205,984,324/902,031.75
  6. Step 6: Final answer
    x = 4,189,659.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.