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Finding the Third Proportional to 3,953,463.19 and 5,972,317.31

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Solution

The third proportional to 3,953,463.19 and 5,972,317.31 is: 9,022,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953,463.19 : 5,972,317.31 = 5,972,317.31 : x
  2. Step 2: Convert to fraction form
    3,953,463.19/5,972,317.31 = 5,972,317.31/x
  3. Step 3: Cross multiply
    3,953,463.19x = 5,972,317.31 × 5,972,317.31
  4. Step 4: Simplify right side
    3,953,463.19x = 35,668,574,081,187.22
  5. Step 5: Solve for x
    x = 35,668,574,081,187.22/3,953,463.19
  6. Step 6: Final answer
    x = 9,022,108.56

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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.