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Finding the Third Proportional to 668,027 and 1,401,700

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Solution

The third proportional to 668,027 and 1,401,700 is: 2,941,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,027 : 1,401,700 = 1,401,700 : x
  2. Step 2: Convert to fraction form
    668,027/1,401,700 = 1,401,700/x
  3. Step 3: Cross multiply
    668,027x = 1,401,700 × 1,401,700
  4. Step 4: Simplify right side
    668,027x = 1,964,762,890,000
  5. Step 5: Solve for x
    x = 1,964,762,890,000/668,027
  6. Step 6: Final answer
    x = 2,941,142.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.