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Finding the Third Proportional to 534,848.06 and 1,174,672.13

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Solution

The third proportional to 534,848.06 and 1,174,672.13 is: 2,579,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,848.06 : 1,174,672.13 = 1,174,672.13 : x
  2. Step 2: Convert to fraction form
    534,848.06/1,174,672.13 = 1,174,672.13/x
  3. Step 3: Cross multiply
    534,848.06x = 1,174,672.13 × 1,174,672.13
  4. Step 4: Simplify right side
    534,848.06x = 1,379,854,601,252.02
  5. Step 5: Solve for x
    x = 1,379,854,601,252.02/534,848.06
  6. Step 6: Final answer
    x = 2,579,900.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.