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Finding the Third Proportional to 1,064,784 and 1,608,266

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Solution

The third proportional to 1,064,784 and 1,608,266 is: 2,429,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,784 : 1,608,266 = 1,608,266 : x
  2. Step 2: Convert to fraction form
    1,064,784/1,608,266 = 1,608,266/x
  3. Step 3: Cross multiply
    1,064,784x = 1,608,266 × 1,608,266
  4. Step 4: Simplify right side
    1,064,784x = 2,586,519,526,756
  5. Step 5: Solve for x
    x = 2,586,519,526,756/1,064,784
  6. Step 6: Final answer
    x = 2,429,149.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.