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Finding the Third Proportional to 772,714.69 and 1,135,918.69

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Solution

The third proportional to 772,714.69 and 1,135,918.69 is: 1,669,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,714.69 : 1,135,918.69 = 1,135,918.69 : x
  2. Step 2: Convert to fraction form
    772,714.69/1,135,918.69 = 1,135,918.69/x
  3. Step 3: Cross multiply
    772,714.69x = 1,135,918.69 × 1,135,918.69
  4. Step 4: Simplify right side
    772,714.69x = 1,290,311,264,611.72
  5. Step 5: Solve for x
    x = 1,290,311,264,611.72/772,714.69
  6. Step 6: Final answer
    x = 1,669,841.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.