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Finding the Third Proportional to 769,879.69 and 1,148,514.19

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Solution

The third proportional to 769,879.69 and 1,148,514.19 is: 1,713,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,879.69 : 1,148,514.19 = 1,148,514.19 : x
  2. Step 2: Convert to fraction form
    769,879.69/1,148,514.19 = 1,148,514.19/x
  3. Step 3: Cross multiply
    769,879.69x = 1,148,514.19 × 1,148,514.19
  4. Step 4: Simplify right side
    769,879.69x = 1,319,084,838,888.79
  5. Step 5: Solve for x
    x = 1,319,084,838,888.79/769,879.69
  6. Step 6: Final answer
    x = 1,713,364.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.