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Finding the Third Proportional to 678,101.63 and 1,025,892

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Solution

The third proportional to 678,101.63 and 1,025,892 is: 1,552,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,101.63 : 1,025,892 = 1,025,892 : x
  2. Step 2: Convert to fraction form
    678,101.63/1,025,892 = 1,025,892/x
  3. Step 3: Cross multiply
    678,101.63x = 1,025,892 × 1,025,892
  4. Step 4: Simplify right side
    678,101.63x = 1,052,454,395,664
  5. Step 5: Solve for x
    x = 1,052,454,395,664/678,101.63
  6. Step 6: Final answer
    x = 1,552,059.98

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