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Finding the Third Proportional to 656,025 and 1,420,860

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Solution

The third proportional to 656,025 and 1,420,860 is: 3,077,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,025 : 1,420,860 = 1,420,860 : x
  2. Step 2: Convert to fraction form
    656,025/1,420,860 = 1,420,860/x
  3. Step 3: Cross multiply
    656,025x = 1,420,860 × 1,420,860
  4. Step 4: Simplify right side
    656,025x = 2,018,843,139,600
  5. Step 5: Solve for x
    x = 2,018,843,139,600/656,025
  6. Step 6: Final answer
    x = 3,077,387.51

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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.