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Finding the Third Proportional to 930,013 and 1,944,144

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Solution

The third proportional to 930,013 and 1,944,144 is: 4,064,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,013 : 1,944,144 = 1,944,144 : x
  2. Step 2: Convert to fraction form
    930,013/1,944,144 = 1,944,144/x
  3. Step 3: Cross multiply
    930,013x = 1,944,144 × 1,944,144
  4. Step 4: Simplify right side
    930,013x = 3,779,695,892,736
  5. Step 5: Solve for x
    x = 3,779,695,892,736/930,013
  6. Step 6: Final answer
    x = 4,064,132.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.