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Finding the Third Proportional to 769,290.75 and 1,997,041.50

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Solution

The third proportional to 769,290.75 and 1,997,041.50 is: 5,184,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,290.75 : 1,997,041.50 = 1,997,041.50 : x
  2. Step 2: Convert to fraction form
    769,290.75/1,997,041.50 = 1,997,041.50/x
  3. Step 3: Cross multiply
    769,290.75x = 1,997,041.50 × 1,997,041.50
  4. Step 4: Simplify right side
    769,290.75x = 3,988,174,752,722.25
  5. Step 5: Solve for x
    x = 3,988,174,752,722.25/769,290.75
  6. Step 6: Final answer
    x = 5,184,222.94

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.