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Finding the Third Proportional to 833,898 and 1,966,569

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Solution

The third proportional to 833,898 and 1,966,569 is: 4,637,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,898 : 1,966,569 = 1,966,569 : x
  2. Step 2: Convert to fraction form
    833,898/1,966,569 = 1,966,569/x
  3. Step 3: Cross multiply
    833,898x = 1,966,569 × 1,966,569
  4. Step 4: Simplify right side
    833,898x = 3,867,393,631,761
  5. Step 5: Solve for x
    x = 3,867,393,631,761/833,898
  6. Step 6: Final answer
    x = 4,637,729.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.