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Finding the Third Proportional to 2,893,407 and 6,114,864

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Solution

The third proportional to 2,893,407 and 6,114,864 is: 12,923,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893,407 : 6,114,864 = 6,114,864 : x
  2. Step 2: Convert to fraction form
    2,893,407/6,114,864 = 6,114,864/x
  3. Step 3: Cross multiply
    2,893,407x = 6,114,864 × 6,114,864
  4. Step 4: Simplify right side
    2,893,407x = 37,391,561,738,496
  5. Step 5: Solve for x
    x = 37,391,561,738,496/2,893,407
  6. Step 6: Final answer
    x = 12,923,021.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.