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Finding the Third Proportional to 2,854,694 and 6,277,184

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Solution

The third proportional to 2,854,694 and 6,277,184 is: 13,802,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,694 : 6,277,184 = 6,277,184 : x
  2. Step 2: Convert to fraction form
    2,854,694/6,277,184 = 6,277,184/x
  3. Step 3: Cross multiply
    2,854,694x = 6,277,184 × 6,277,184
  4. Step 4: Simplify right side
    2,854,694x = 39,403,038,969,856
  5. Step 5: Solve for x
    x = 39,403,038,969,856/2,854,694
  6. Step 6: Final answer
    x = 13,802,894.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.