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Finding the Third Proportional to 734,778 and 1,614,114

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Solution

The third proportional to 734,778 and 1,614,114 is: 3,545,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,778 : 1,614,114 = 1,614,114 : x
  2. Step 2: Convert to fraction form
    734,778/1,614,114 = 1,614,114/x
  3. Step 3: Cross multiply
    734,778x = 1,614,114 × 1,614,114
  4. Step 4: Simplify right side
    734,778x = 2,605,364,004,996
  5. Step 5: Solve for x
    x = 2,605,364,004,996/734,778
  6. Step 6: Final answer
    x = 3,545,783.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.