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Finding the Third Proportional to 2,670,931 and 5,746,857

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Solution

The third proportional to 2,670,931 and 5,746,857 is: 12,365,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670,931 : 5,746,857 = 5,746,857 : x
  2. Step 2: Convert to fraction form
    2,670,931/5,746,857 = 5,746,857/x
  3. Step 3: Cross multiply
    2,670,931x = 5,746,857 × 5,746,857
  4. Step 4: Simplify right side
    2,670,931x = 33,026,365,378,449
  5. Step 5: Solve for x
    x = 33,026,365,378,449/2,670,931
  6. Step 6: Final answer
    x = 12,365,113.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.