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Finding the Third Proportional to 664,582 and 1,462,026

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Solution

The third proportional to 664,582 and 1,462,026 is: 3,216,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,582 : 1,462,026 = 1,462,026 : x
  2. Step 2: Convert to fraction form
    664,582/1,462,026 = 1,462,026/x
  3. Step 3: Cross multiply
    664,582x = 1,462,026 × 1,462,026
  4. Step 4: Simplify right side
    664,582x = 2,137,520,024,676
  5. Step 5: Solve for x
    x = 2,137,520,024,676/664,582
  6. Step 6: Final answer
    x = 3,216,337.52

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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.