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Finding the Third Proportional to 683,856 and 1,493,586

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Solution

The third proportional to 683,856 and 1,493,586 is: 3,262,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,856 : 1,493,586 = 1,493,586 : x
  2. Step 2: Convert to fraction form
    683,856/1,493,586 = 1,493,586/x
  3. Step 3: Cross multiply
    683,856x = 1,493,586 × 1,493,586
  4. Step 4: Simplify right side
    683,856x = 2,230,799,139,396
  5. Step 5: Solve for x
    x = 2,230,799,139,396/683,856
  6. Step 6: Final answer
    x = 3,262,089.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.