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Finding the Third Proportional to 798,538.50 and 1,238,824.13

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Solution

The third proportional to 798,538.50 and 1,238,824.13 is: 1,921,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,538.50 : 1,238,824.13 = 1,238,824.13 : x
  2. Step 2: Convert to fraction form
    798,538.50/1,238,824.13 = 1,238,824.13/x
  3. Step 3: Cross multiply
    798,538.50x = 1,238,824.13 × 1,238,824.13
  4. Step 4: Simplify right side
    798,538.50x = 1,534,685,212,682.02
  5. Step 5: Solve for x
    x = 1,534,685,212,682.02/798,538.50
  6. Step 6: Final answer
    x = 1,921,867.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.