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Finding the Third Proportional to 470,462 and 1,018,682

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Solution

The third proportional to 470,462 and 1,018,682 is: 2,205,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,462 : 1,018,682 = 1,018,682 : x
  2. Step 2: Convert to fraction form
    470,462/1,018,682 = 1,018,682/x
  3. Step 3: Cross multiply
    470,462x = 1,018,682 × 1,018,682
  4. Step 4: Simplify right side
    470,462x = 1,037,713,017,124
  5. Step 5: Solve for x
    x = 1,037,713,017,124/470,462
  6. Step 6: Final answer
    x = 2,205,731.85

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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.