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Finding the Third Proportional to 668,025 and 1,401,696

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Solution

The third proportional to 668,025 and 1,401,696 is: 2,941,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,025 : 1,401,696 = 1,401,696 : x
  2. Step 2: Convert to fraction form
    668,025/1,401,696 = 1,401,696/x
  3. Step 3: Cross multiply
    668,025x = 1,401,696 × 1,401,696
  4. Step 4: Simplify right side
    668,025x = 1,964,751,676,416
  5. Step 5: Solve for x
    x = 1,964,751,676,416/668,025
  6. Step 6: Final answer
    x = 2,941,134.95

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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.