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Finding the Third Proportional to 1,369,500 and 2,129,004

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Solution

The third proportional to 1,369,500 and 2,129,004 is: 3,309,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,500 : 2,129,004 = 2,129,004 : x
  2. Step 2: Convert to fraction form
    1,369,500/2,129,004 = 2,129,004/x
  3. Step 3: Cross multiply
    1,369,500x = 2,129,004 × 2,129,004
  4. Step 4: Simplify right side
    1,369,500x = 4,532,658,032,016
  5. Step 5: Solve for x
    x = 4,532,658,032,016/1,369,500
  6. Step 6: Final answer
    x = 3,309,717.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.