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Finding the Third Proportional to 678,142.13 and 1,025,952.75

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Solution

The third proportional to 678,142.13 and 1,025,952.75 is: 1,552,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,142.13 : 1,025,952.75 = 1,025,952.75 : x
  2. Step 2: Convert to fraction form
    678,142.13/1,025,952.75 = 1,025,952.75/x
  3. Step 3: Cross multiply
    678,142.13x = 1,025,952.75 × 1,025,952.75
  4. Step 4: Simplify right side
    678,142.13x = 1,052,579,045,232.56
  5. Step 5: Solve for x
    x = 1,052,579,045,232.56/678,142.13
  6. Step 6: Final answer
    x = 1,552,151.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.