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Finding the Third Proportional to 573,062.34 and 1,245,633.19

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Solution

The third proportional to 573,062.34 and 1,245,633.19 is: 2,707,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,062.34 : 1,245,633.19 = 1,245,633.19 : x
  2. Step 2: Convert to fraction form
    573,062.34/1,245,633.19 = 1,245,633.19/x
  3. Step 3: Cross multiply
    573,062.34x = 1,245,633.19 × 1,245,633.19
  4. Step 4: Simplify right side
    573,062.34x = 1,551,602,037,801.41
  5. Step 5: Solve for x
    x = 1,551,602,037,801.41/573,062.34
  6. Step 6: Final answer
    x = 2,707,562.37

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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.