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Finding the Third Proportional to 668,046 and 1,401,738

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Solution

The third proportional to 668,046 and 1,401,738 is: 2,941,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,046 : 1,401,738 = 1,401,738 : x
  2. Step 2: Convert to fraction form
    668,046/1,401,738 = 1,401,738/x
  3. Step 3: Cross multiply
    668,046x = 1,401,738 × 1,401,738
  4. Step 4: Simplify right side
    668,046x = 1,964,869,420,644
  5. Step 5: Solve for x
    x = 1,964,869,420,644/668,046
  6. Step 6: Final answer
    x = 2,941,218.75

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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.