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Finding the Third Proportional to 598,441.50 and 1,298,610

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Solution

The third proportional to 598,441.50 and 1,298,610 is: 2,817,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,441.50 : 1,298,610 = 1,298,610 : x
  2. Step 2: Convert to fraction form
    598,441.50/1,298,610 = 1,298,610/x
  3. Step 3: Cross multiply
    598,441.50x = 1,298,610 × 1,298,610
  4. Step 4: Simplify right side
    598,441.50x = 1,686,387,932,100
  5. Step 5: Solve for x
    x = 1,686,387,932,100/598,441.50
  6. Step 6: Final answer
    x = 2,817,966.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.