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Finding the Third Proportional to 1,972,692.56 and 4,245,004.13

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Solution

The third proportional to 1,972,692.56 and 4,245,004.13 is: 9,134,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,692.56 : 4,245,004.13 = 4,245,004.13 : x
  2. Step 2: Convert to fraction form
    1,972,692.56/4,245,004.13 = 4,245,004.13/x
  3. Step 3: Cross multiply
    1,972,692.56x = 4,245,004.13 × 4,245,004.13
  4. Step 4: Simplify right side
    1,972,692.56x = 18,020,060,021,267.02
  5. Step 5: Solve for x
    x = 18,020,060,021,267.02/1,972,692.56
  6. Step 6: Final answer
    x = 9,134,753.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.