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Finding the Third Proportional to 683,504 and 1,495,684

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Solution

The third proportional to 683,504 and 1,495,684 is: 3,272,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,504 : 1,495,684 = 1,495,684 : x
  2. Step 2: Convert to fraction form
    683,504/1,495,684 = 1,495,684/x
  3. Step 3: Cross multiply
    683,504x = 1,495,684 × 1,495,684
  4. Step 4: Simplify right side
    683,504x = 2,237,070,627,856
  5. Step 5: Solve for x
    x = 2,237,070,627,856/683,504
  6. Step 6: Final answer
    x = 3,272,944.46

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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.