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Finding the Third Proportional to 1,945,255.50 and 3,125,466

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Solution

The third proportional to 1,945,255.50 and 3,125,466 is: 5,021,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,255.50 : 3,125,466 = 3,125,466 : x
  2. Step 2: Convert to fraction form
    1,945,255.50/3,125,466 = 3,125,466/x
  3. Step 3: Cross multiply
    1,945,255.50x = 3,125,466 × 3,125,466
  4. Step 4: Simplify right side
    1,945,255.50x = 9,768,537,717,156
  5. Step 5: Solve for x
    x = 9,768,537,717,156/1,945,255.50
  6. Step 6: Final answer
    x = 5,021,724.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.