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Finding the Third Proportional to 605,364 and 1,328,814

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Solution

The third proportional to 605,364 and 1,328,814 is: 2,916,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,364 : 1,328,814 = 1,328,814 : x
  2. Step 2: Convert to fraction form
    605,364/1,328,814 = 1,328,814/x
  3. Step 3: Cross multiply
    605,364x = 1,328,814 × 1,328,814
  4. Step 4: Simplify right side
    605,364x = 1,765,746,646,596
  5. Step 5: Solve for x
    x = 1,765,746,646,596/605,364
  6. Step 6: Final answer
    x = 2,916,834.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.