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Finding the Third Proportional to 611,822 and 860,050

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Solution

The third proportional to 611,822 and 860,050 is: 1,208,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,822 : 860,050 = 860,050 : x
  2. Step 2: Convert to fraction form
    611,822/860,050 = 860,050/x
  3. Step 3: Cross multiply
    611,822x = 860,050 × 860,050
  4. Step 4: Simplify right side
    611,822x = 739,686,002,500
  5. Step 5: Solve for x
    x = 739,686,002,500/611,822
  6. Step 6: Final answer
    x = 1,208,988.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.