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Finding the Third Proportional to 477,142.50 and 1,040,018.25

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Solution

The third proportional to 477,142.50 and 1,040,018.25 is: 2,266,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,142.50 : 1,040,018.25 = 1,040,018.25 : x
  2. Step 2: Convert to fraction form
    477,142.50/1,040,018.25 = 1,040,018.25/x
  3. Step 3: Cross multiply
    477,142.50x = 1,040,018.25 × 1,040,018.25
  4. Step 4: Simplify right side
    477,142.50x = 1,081,637,960,333.06
  5. Step 5: Solve for x
    x = 1,081,637,960,333.06/477,142.50
  6. Step 6: Final answer
    x = 2,266,907.60

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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.