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Finding the Third Proportional to 683,829 and 1,483,569

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Solution

The third proportional to 683,829 and 1,483,569 is: 3,218,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,829 : 1,483,569 = 1,483,569 : x
  2. Step 2: Convert to fraction form
    683,829/1,483,569 = 1,483,569/x
  3. Step 3: Cross multiply
    683,829x = 1,483,569 × 1,483,569
  4. Step 4: Simplify right side
    683,829x = 2,200,976,977,761
  5. Step 5: Solve for x
    x = 2,200,976,977,761/683,829
  6. Step 6: Final answer
    x = 3,218,607.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.