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Finding the Third Proportional to 3,855,024.75 and 5,117,197.50

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Solution

The third proportional to 3,855,024.75 and 5,117,197.50 is: 6,792,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855,024.75 : 5,117,197.50 = 5,117,197.50 : x
  2. Step 2: Convert to fraction form
    3,855,024.75/5,117,197.50 = 5,117,197.50/x
  3. Step 3: Cross multiply
    3,855,024.75x = 5,117,197.50 × 5,117,197.50
  4. Step 4: Simplify right side
    3,855,024.75x = 26,185,710,254,006.25
  5. Step 5: Solve for x
    x = 26,185,710,254,006.25/3,855,024.75
  6. Step 6: Final answer
    x = 6,792,617.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.