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Finding the Third Proportional to 793,207.69 and 1,186,827.19

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Solution

The third proportional to 793,207.69 and 1,186,827.19 is: 1,775,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,207.69 : 1,186,827.19 = 1,186,827.19 : x
  2. Step 2: Convert to fraction form
    793,207.69/1,186,827.19 = 1,186,827.19/x
  3. Step 3: Cross multiply
    793,207.69x = 1,186,827.19 × 1,186,827.19
  4. Step 4: Simplify right side
    793,207.69x = 1,408,558,772,989.16
  5. Step 5: Solve for x
    x = 1,408,558,772,989.16/793,207.69
  6. Step 6: Final answer
    x = 1,775,775.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.