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Finding the Third Proportional to 1,180,463 and 1,784,735

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Solution

The third proportional to 1,180,463 and 1,784,735 is: 2,698,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,463 : 1,784,735 = 1,784,735 : x
  2. Step 2: Convert to fraction form
    1,180,463/1,784,735 = 1,784,735/x
  3. Step 3: Cross multiply
    1,180,463x = 1,784,735 × 1,784,735
  4. Step 4: Simplify right side
    1,180,463x = 3,185,279,020,225
  5. Step 5: Solve for x
    x = 3,185,279,020,225/1,180,463
  6. Step 6: Final answer
    x = 2,698,330.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.