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Finding the Third Proportional to 780,692.50 and 1,164,562

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Solution

The third proportional to 780,692.50 and 1,164,562 is: 1,737,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,692.50 : 1,164,562 = 1,164,562 : x
  2. Step 2: Convert to fraction form
    780,692.50/1,164,562 = 1,164,562/x
  3. Step 3: Cross multiply
    780,692.50x = 1,164,562 × 1,164,562
  4. Step 4: Simplify right side
    780,692.50x = 1,356,204,651,844
  5. Step 5: Solve for x
    x = 1,356,204,651,844/780,692.50
  6. Step 6: Final answer
    x = 1,737,181.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.