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Finding the Third Proportional to 573,126 and 1,174,980

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Solution

The third proportional to 573,126 and 1,174,980 is: 2,408,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,126 : 1,174,980 = 1,174,980 : x
  2. Step 2: Convert to fraction form
    573,126/1,174,980 = 1,174,980/x
  3. Step 3: Cross multiply
    573,126x = 1,174,980 × 1,174,980
  4. Step 4: Simplify right side
    573,126x = 1,380,578,000,400
  5. Step 5: Solve for x
    x = 1,380,578,000,400/573,126
  6. Step 6: Final answer
    x = 2,408,855.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.