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Finding the Third Proportional to 449,613 and 981,598.50

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Solution

The third proportional to 449,613 and 981,598.50 is: 2,143,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,613 : 981,598.50 = 981,598.50 : x
  2. Step 2: Convert to fraction form
    449,613/981,598.50 = 981,598.50/x
  3. Step 3: Cross multiply
    449,613x = 981,598.50 × 981,598.50
  4. Step 4: Simplify right side
    449,613x = 963,535,615,202.25
  5. Step 5: Solve for x
    x = 963,535,615,202.25/449,613
  6. Step 6: Final answer
    x = 2,143,033.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.