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Finding the Third Proportional to 524,701.13 and 1,411,917.75

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Solution

The third proportional to 524,701.13 and 1,411,917.75 is: 3,799,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,701.13 : 1,411,917.75 = 1,411,917.75 : x
  2. Step 2: Convert to fraction form
    524,701.13/1,411,917.75 = 1,411,917.75/x
  3. Step 3: Cross multiply
    524,701.13x = 1,411,917.75 × 1,411,917.75
  4. Step 4: Simplify right side
    524,701.13x = 1,993,511,732,765.06
  5. Step 5: Solve for x
    x = 1,993,511,732,765.06/524,701.13
  6. Step 6: Final answer
    x = 3,799,328.11

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.