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Finding the Third Proportional to 1,259,469 and 1,656,409.50

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Solution

The third proportional to 1,259,469 and 1,656,409.50 is: 2,178,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,469 : 1,656,409.50 = 1,656,409.50 : x
  2. Step 2: Convert to fraction form
    1,259,469/1,656,409.50 = 1,656,409.50/x
  3. Step 3: Cross multiply
    1,259,469x = 1,656,409.50 × 1,656,409.50
  4. Step 4: Simplify right side
    1,259,469x = 2,743,692,431,690.25
  5. Step 5: Solve for x
    x = 2,743,692,431,690.25/1,259,469
  6. Step 6: Final answer
    x = 2,178,451.74

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.