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Finding the Third Proportional to 534,778 and 1,161,770

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Solution

The third proportional to 534,778 and 1,161,770 is: 2,523,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,778 : 1,161,770 = 1,161,770 : x
  2. Step 2: Convert to fraction form
    534,778/1,161,770 = 1,161,770/x
  3. Step 3: Cross multiply
    534,778x = 1,161,770 × 1,161,770
  4. Step 4: Simplify right side
    534,778x = 1,349,709,532,900
  5. Step 5: Solve for x
    x = 1,349,709,532,900/534,778
  6. Step 6: Final answer
    x = 2,523,868.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.