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Finding the Third Proportional to 677,972 and 1,025,706

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Solution

The third proportional to 677,972 and 1,025,706 is: 1,551,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,972 : 1,025,706 = 1,025,706 : x
  2. Step 2: Convert to fraction form
    677,972/1,025,706 = 1,025,706/x
  3. Step 3: Cross multiply
    677,972x = 1,025,706 × 1,025,706
  4. Step 4: Simplify right side
    677,972x = 1,052,072,798,436
  5. Step 5: Solve for x
    x = 1,052,072,798,436/677,972
  6. Step 6: Final answer
    x = 1,551,793.88

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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.