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Finding the Third Proportional to 1,470,624 and 2,248,032

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Solution

The third proportional to 1,470,624 and 2,248,032 is: 3,436,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,624 : 2,248,032 = 2,248,032 : x
  2. Step 2: Convert to fraction form
    1,470,624/2,248,032 = 2,248,032/x
  3. Step 3: Cross multiply
    1,470,624x = 2,248,032 × 2,248,032
  4. Step 4: Simplify right side
    1,470,624x = 5,053,647,873,024
  5. Step 5: Solve for x
    x = 5,053,647,873,024/1,470,624
  6. Step 6: Final answer
    x = 3,436,396.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.