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Finding the Third Proportional to 2,895,314.50 and 5,717,963

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Solution

The third proportional to 2,895,314.50 and 5,717,963 is: 11,292,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895,314.50 : 5,717,963 = 5,717,963 : x
  2. Step 2: Convert to fraction form
    2,895,314.50/5,717,963 = 5,717,963/x
  3. Step 3: Cross multiply
    2,895,314.50x = 5,717,963 × 5,717,963
  4. Step 4: Simplify right side
    2,895,314.50x = 32,695,100,869,369
  5. Step 5: Solve for x
    x = 32,695,100,869,369/2,895,314.50
  6. Step 6: Final answer
    x = 11,292,417.76

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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.