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Finding the Third Proportional to 775,726 and 1,200,453

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Solution

The third proportional to 775,726 and 1,200,453 is: 1,857,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,726 : 1,200,453 = 1,200,453 : x
  2. Step 2: Convert to fraction form
    775,726/1,200,453 = 1,200,453/x
  3. Step 3: Cross multiply
    775,726x = 1,200,453 × 1,200,453
  4. Step 4: Simplify right side
    775,726x = 1,441,087,405,209
  5. Step 5: Solve for x
    x = 1,441,087,405,209/775,726
  6. Step 6: Final answer
    x = 1,857,727.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.