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Finding the Third Proportional to 1,769,647.50 and 2,706,048

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Solution

The third proportional to 1,769,647.50 and 2,706,048 is: 4,137,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,647.50 : 2,706,048 = 2,706,048 : x
  2. Step 2: Convert to fraction form
    1,769,647.50/2,706,048 = 2,706,048/x
  3. Step 3: Cross multiply
    1,769,647.50x = 2,706,048 × 2,706,048
  4. Step 4: Simplify right side
    1,769,647.50x = 7,322,695,778,304
  5. Step 5: Solve for x
    x = 7,322,695,778,304/1,769,647.50
  6. Step 6: Final answer
    x = 4,137,940.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.