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Finding the Third Proportional to 683,644.50 and 1,483,929

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Solution

The third proportional to 683,644.50 and 1,483,929 is: 3,221,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,644.50 : 1,483,929 = 1,483,929 : x
  2. Step 2: Convert to fraction form
    683,644.50/1,483,929 = 1,483,929/x
  3. Step 3: Cross multiply
    683,644.50x = 1,483,929 × 1,483,929
  4. Step 4: Simplify right side
    683,644.50x = 2,202,045,277,041
  5. Step 5: Solve for x
    x = 2,202,045,277,041/683,644.50
  6. Step 6: Final answer
    x = 3,221,038.53

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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.