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Finding the Third Proportional to 683,570 and 1,495,794

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Solution

The third proportional to 683,570 and 1,495,794 is: 3,273,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,570 : 1,495,794 = 1,495,794 : x
  2. Step 2: Convert to fraction form
    683,570/1,495,794 = 1,495,794/x
  3. Step 3: Cross multiply
    683,570x = 1,495,794 × 1,495,794
  4. Step 4: Simplify right side
    683,570x = 2,237,399,690,436
  5. Step 5: Solve for x
    x = 2,237,399,690,436/683,570
  6. Step 6: Final answer
    x = 3,273,109.84

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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.