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Finding the Third Proportional to 680,046.75 and 1,429,895.25

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Solution

The third proportional to 680,046.75 and 1,429,895.25 is: 3,006,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,046.75 : 1,429,895.25 = 1,429,895.25 : x
  2. Step 2: Convert to fraction form
    680,046.75/1,429,895.25 = 1,429,895.25/x
  3. Step 3: Cross multiply
    680,046.75x = 1,429,895.25 × 1,429,895.25
  4. Step 4: Simplify right side
    680,046.75x = 2,044,600,425,972.56
  5. Step 5: Solve for x
    x = 2,044,600,425,972.56/680,046.75
  6. Step 6: Final answer
    x = 3,006,558.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.