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Finding the Third Proportional to 409,459.13 and 885,986.25

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Solution

The third proportional to 409,459.13 and 885,986.25 is: 1,917,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,459.13 : 885,986.25 = 885,986.25 : x
  2. Step 2: Convert to fraction form
    409,459.13/885,986.25 = 885,986.25/x
  3. Step 3: Cross multiply
    409,459.13x = 885,986.25 × 885,986.25
  4. Step 4: Simplify right side
    409,459.13x = 784,971,635,189.06
  5. Step 5: Solve for x
    x = 784,971,635,189.06/409,459.13
  6. Step 6: Final answer
    x = 1,917,094.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.