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Finding the Third Proportional to 683,212 and 973,249

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Solution

The third proportional to 683,212 and 973,249 is: 1,386,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,212 : 973,249 = 973,249 : x
  2. Step 2: Convert to fraction form
    683,212/973,249 = 973,249/x
  3. Step 3: Cross multiply
    683,212x = 973,249 × 973,249
  4. Step 4: Simplify right side
    683,212x = 947,213,616,001
  5. Step 5: Solve for x
    x = 947,213,616,001/683,212
  6. Step 6: Final answer
    x = 1,386,412.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.