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Finding the Third Proportional to 1,332,058.50 and 2,010,075.75

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Solution

The third proportional to 1,332,058.50 and 2,010,075.75 is: 3,033,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,058.50 : 2,010,075.75 = 2,010,075.75 : x
  2. Step 2: Convert to fraction form
    1,332,058.50/2,010,075.75 = 2,010,075.75/x
  3. Step 3: Cross multiply
    1,332,058.50x = 2,010,075.75 × 2,010,075.75
  4. Step 4: Simplify right side
    1,332,058.50x = 4,040,404,520,738.06
  5. Step 5: Solve for x
    x = 4,040,404,520,738.06/1,332,058.50
  6. Step 6: Final answer
    x = 3,033,203.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.