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Finding the Third Proportional to 1,526,221.83 and 3,318,164.16

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Solution

The third proportional to 1,526,221.83 and 3,318,164.16 is: 7,214,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,221.83 : 3,318,164.16 = 3,318,164.16 : x
  2. Step 2: Convert to fraction form
    1,526,221.83/3,318,164.16 = 3,318,164.16/x
  3. Step 3: Cross multiply
    1,526,221.83x = 3,318,164.16 × 3,318,164.16
  4. Step 4: Simplify right side
    1,526,221.83x = 11,010,213,367,822.27
  5. Step 5: Solve for x
    x = 11,010,213,367,822.27/1,526,221.83
  6. Step 6: Final answer
    x = 7,214,032.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.