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Finding the Third Proportional to 788,550.19 and 1,115,780.06

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Solution

The third proportional to 788,550.19 and 1,115,780.06 is: 1,578,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,550.19 : 1,115,780.06 = 1,115,780.06 : x
  2. Step 2: Convert to fraction form
    788,550.19/1,115,780.06 = 1,115,780.06/x
  3. Step 3: Cross multiply
    788,550.19x = 1,115,780.06 × 1,115,780.06
  4. Step 4: Simplify right side
    788,550.19x = 1,244,965,147,872.50
  5. Step 5: Solve for x
    x = 1,244,965,147,872.50/788,550.19
  6. Step 6: Final answer
    x = 1,578,802.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.