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Finding the Third Proportional to 403,412.44 and 869,066.06

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Solution

The third proportional to 403,412.44 and 869,066.06 is: 1,872,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,412.44 : 869,066.06 = 869,066.06 : x
  2. Step 2: Convert to fraction form
    403,412.44/869,066.06 = 869,066.06/x
  3. Step 3: Cross multiply
    403,412.44x = 869,066.06 × 869,066.06
  4. Step 4: Simplify right side
    403,412.44x = 755,275,820,989.25
  5. Step 5: Solve for x
    x = 755,275,820,989.25/403,412.44
  6. Step 6: Final answer
    x = 1,872,217.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.