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Finding the Third Proportional to 1,461,569 and 3,188,733

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Solution

The third proportional to 1,461,569 and 3,188,733 is: 6,956,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,569 : 3,188,733 = 3,188,733 : x
  2. Step 2: Convert to fraction form
    1,461,569/3,188,733 = 3,188,733/x
  3. Step 3: Cross multiply
    1,461,569x = 3,188,733 × 3,188,733
  4. Step 4: Simplify right side
    1,461,569x = 10,168,018,145,289
  5. Step 5: Solve for x
    x = 10,168,018,145,289/1,461,569
  6. Step 6: Final answer
    x = 6,956,919.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.