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Finding the Third Proportional to 1,169,007.75 and 1,748,847.38

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Solution

The third proportional to 1,169,007.75 and 1,748,847.38 is: 2,616,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,007.75 : 1,748,847.38 = 1,748,847.38 : x
  2. Step 2: Convert to fraction form
    1,169,007.75/1,748,847.38 = 1,748,847.38/x
  3. Step 3: Cross multiply
    1,169,007.75x = 1,748,847.38 × 1,748,847.38
  4. Step 4: Simplify right side
    1,169,007.75x = 3,058,467,141,044.39
  5. Step 5: Solve for x
    x = 3,058,467,141,044.39/1,169,007.75
  6. Step 6: Final answer
    x = 2,616,293.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.