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Finding the Third Proportional to 1,732,590 and 3,863,138.06

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Solution

The third proportional to 1,732,590 and 3,863,138.06 is: 8,613,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,590 : 3,863,138.06 = 3,863,138.06 : x
  2. Step 2: Convert to fraction form
    1,732,590/3,863,138.06 = 3,863,138.06/x
  3. Step 3: Cross multiply
    1,732,590x = 3,863,138.06 × 3,863,138.06
  4. Step 4: Simplify right side
    1,732,590x = 14,923,835,689,936.25
  5. Step 5: Solve for x
    x = 14,923,835,689,936.25/1,732,590
  6. Step 6: Final answer
    x = 8,613,599.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.