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Finding the Third Proportional to 683,501 and 1,495,675

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Solution

The third proportional to 683,501 and 1,495,675 is: 3,272,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,501 : 1,495,675 = 1,495,675 : x
  2. Step 2: Convert to fraction form
    683,501/1,495,675 = 1,495,675/x
  3. Step 3: Cross multiply
    683,501x = 1,495,675 × 1,495,675
  4. Step 4: Simplify right side
    683,501x = 2,237,043,705,625
  5. Step 5: Solve for x
    x = 2,237,043,705,625/683,501
  6. Step 6: Final answer
    x = 3,272,919.43

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Why These Related Problems?

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