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Finding the Third Proportional to 814,910.63 and 1,106,758.69

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Solution

The third proportional to 814,910.63 and 1,106,758.69 is: 1,503,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,910.63 : 1,106,758.69 = 1,106,758.69 : x
  2. Step 2: Convert to fraction form
    814,910.63/1,106,758.69 = 1,106,758.69/x
  3. Step 3: Cross multiply
    814,910.63x = 1,106,758.69 × 1,106,758.69
  4. Step 4: Simplify right side
    814,910.63x = 1,224,914,792,356.72
  5. Step 5: Solve for x
    x = 1,224,914,792,356.72/814,910.63
  6. Step 6: Final answer
    x = 1,503,127.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.