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Finding the Third Proportional to 2,983,456 and 6,438,656

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Solution

The third proportional to 2,983,456 and 6,438,656 is: 13,895,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,456 : 6,438,656 = 6,438,656 : x
  2. Step 2: Convert to fraction form
    2,983,456/6,438,656 = 6,438,656/x
  3. Step 3: Cross multiply
    2,983,456x = 6,438,656 × 6,438,656
  4. Step 4: Simplify right side
    2,983,456x = 41,456,291,086,336
  5. Step 5: Solve for x
    x = 41,456,291,086,336/2,983,456
  6. Step 6: Final answer
    x = 13,895,392.15

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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.