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Finding the Third Proportional to 1,228,714.31 and 1,923,322.22

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Solution

The third proportional to 1,228,714.31 and 1,923,322.22 is: 3,010,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,714.31 : 1,923,322.22 = 1,923,322.22 : x
  2. Step 2: Convert to fraction form
    1,228,714.31/1,923,322.22 = 1,923,322.22/x
  3. Step 3: Cross multiply
    1,228,714.31x = 1,923,322.22 × 1,923,322.22
  4. Step 4: Simplify right side
    1,228,714.31x = 3,699,168,357,137.42
  5. Step 5: Solve for x
    x = 3,699,168,357,137.42/1,228,714.31
  6. Step 6: Final answer
    x = 3,010,600.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.