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Finding the Third Proportional to 2,002,044.75 and 4,319,024.25

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Solution

The third proportional to 2,002,044.75 and 4,319,024.25 is: 9,317,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,044.75 : 4,319,024.25 = 4,319,024.25 : x
  2. Step 2: Convert to fraction form
    2,002,044.75/4,319,024.25 = 4,319,024.25/x
  3. Step 3: Cross multiply
    2,002,044.75x = 4,319,024.25 × 4,319,024.25
  4. Step 4: Simplify right side
    2,002,044.75x = 18,653,970,472,088.06
  5. Step 5: Solve for x
    x = 18,653,970,472,088.06/2,002,044.75
  6. Step 6: Final answer
    x = 9,317,459.30

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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.