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Finding the Third Proportional to 683,500 and 1,495,674

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Solution

The third proportional to 683,500 and 1,495,674 is: 3,272,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,500 : 1,495,674 = 1,495,674 : x
  2. Step 2: Convert to fraction form
    683,500/1,495,674 = 1,495,674/x
  3. Step 3: Cross multiply
    683,500x = 1,495,674 × 1,495,674
  4. Step 4: Simplify right side
    683,500x = 2,237,040,714,276
  5. Step 5: Solve for x
    x = 2,237,040,714,276/683,500
  6. Step 6: Final answer
    x = 3,272,919.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.