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Finding the Third Proportional to 827,369.44 and 1,265,111.16

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Solution

The third proportional to 827,369.44 and 1,265,111.16 is: 1,934,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,369.44 : 1,265,111.16 = 1,265,111.16 : x
  2. Step 2: Convert to fraction form
    827,369.44/1,265,111.16 = 1,265,111.16/x
  3. Step 3: Cross multiply
    827,369.44x = 1,265,111.16 × 1,265,111.16
  4. Step 4: Simplify right side
    827,369.44x = 1,600,506,237,668.21
  5. Step 5: Solve for x
    x = 1,600,506,237,668.21/827,369.44
  6. Step 6: Final answer
    x = 1,934,451.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.