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Finding the Third Proportional to 1,204,514 and 1,605,830

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Solution

The third proportional to 1,204,514 and 1,605,830 is: 2,140,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,514 : 1,605,830 = 1,605,830 : x
  2. Step 2: Convert to fraction form
    1,204,514/1,605,830 = 1,605,830/x
  3. Step 3: Cross multiply
    1,204,514x = 1,605,830 × 1,605,830
  4. Step 4: Simplify right side
    1,204,514x = 2,578,689,988,900
  5. Step 5: Solve for x
    x = 2,578,689,988,900/1,204,514
  6. Step 6: Final answer
    x = 2,140,855.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.