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Finding the Third Proportional to 614,374.31 and 1,346,847.19

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Solution

The third proportional to 614,374.31 and 1,346,847.19 is: 2,952,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,374.31 : 1,346,847.19 = 1,346,847.19 : x
  2. Step 2: Convert to fraction form
    614,374.31/1,346,847.19 = 1,346,847.19/x
  3. Step 3: Cross multiply
    614,374.31x = 1,346,847.19 × 1,346,847.19
  4. Step 4: Simplify right side
    614,374.31x = 1,813,997,346,476.66
  5. Step 5: Solve for x
    x = 1,813,997,346,476.66/614,374.31
  6. Step 6: Final answer
    x = 2,952,593.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.