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Finding the Third Proportional to 2,895,314 and 5,717,964

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Solution

The third proportional to 2,895,314 and 5,717,964 is: 11,292,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895,314 : 5,717,964 = 5,717,964 : x
  2. Step 2: Convert to fraction form
    2,895,314/5,717,964 = 5,717,964/x
  3. Step 3: Cross multiply
    2,895,314x = 5,717,964 × 5,717,964
  4. Step 4: Simplify right side
    2,895,314x = 32,695,112,305,296
  5. Step 5: Solve for x
    x = 32,695,112,305,296/2,895,314
  6. Step 6: Final answer
    x = 11,292,423.66

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.