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Finding the Third Proportional to 678,050 and 1,050,562

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Solution

The third proportional to 678,050 and 1,050,562 is: 1,627,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,050 : 1,050,562 = 1,050,562 : x
  2. Step 2: Convert to fraction form
    678,050/1,050,562 = 1,050,562/x
  3. Step 3: Cross multiply
    678,050x = 1,050,562 × 1,050,562
  4. Step 4: Simplify right side
    678,050x = 1,103,680,515,844
  5. Step 5: Solve for x
    x = 1,103,680,515,844/678,050
  6. Step 6: Final answer
    x = 1,627,727.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.