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Finding the Third Proportional to 1,347,536.25 and 2,921,703.75

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Solution

The third proportional to 1,347,536.25 and 2,921,703.75 is: 6,334,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,536.25 : 2,921,703.75 = 2,921,703.75 : x
  2. Step 2: Convert to fraction form
    1,347,536.25/2,921,703.75 = 2,921,703.75/x
  3. Step 3: Cross multiply
    1,347,536.25x = 2,921,703.75 × 2,921,703.75
  4. Step 4: Simplify right side
    1,347,536.25x = 8,536,352,802,764.06
  5. Step 5: Solve for x
    x = 8,536,352,802,764.06/1,347,536.25
  6. Step 6: Final answer
    x = 6,334,785.28

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