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Finding the Third Proportional to 788,170.50 and 1,219,161.38

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Solution

The third proportional to 788,170.50 and 1,219,161.38 is: 1,885,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,170.50 : 1,219,161.38 = 1,219,161.38 : x
  2. Step 2: Convert to fraction form
    788,170.50/1,219,161.38 = 1,219,161.38/x
  3. Step 3: Cross multiply
    788,170.50x = 1,219,161.38 × 1,219,161.38
  4. Step 4: Simplify right side
    788,170.50x = 1,486,354,458,291.89
  5. Step 5: Solve for x
    x = 1,486,354,458,291.89/788,170.50
  6. Step 6: Final answer
    x = 1,885,828.58

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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.