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Finding the Third Proportional to 1,222,365.94 and 1,660,138.03

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Solution

The third proportional to 1,222,365.94 and 1,660,138.03 is: 2,254,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,365.94 : 1,660,138.03 = 1,660,138.03 : x
  2. Step 2: Convert to fraction form
    1,222,365.94/1,660,138.03 = 1,660,138.03/x
  3. Step 3: Cross multiply
    1,222,365.94x = 1,660,138.03 × 1,660,138.03
  4. Step 4: Simplify right side
    1,222,365.94x = 2,756,058,282,802.63
  5. Step 5: Solve for x
    x = 2,756,058,282,802.63/1,222,365.94
  6. Step 6: Final answer
    x = 2,254,691.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.