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Finding the Third Proportional to 700,884 and 1,072,350

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Solution

The third proportional to 700,884 and 1,072,350 is: 1,640,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,884 : 1,072,350 = 1,072,350 : x
  2. Step 2: Convert to fraction form
    700,884/1,072,350 = 1,072,350/x
  3. Step 3: Cross multiply
    700,884x = 1,072,350 × 1,072,350
  4. Step 4: Simplify right side
    700,884x = 1,149,934,522,500
  5. Step 5: Solve for x
    x = 1,149,934,522,500/700,884
  6. Step 6: Final answer
    x = 1,640,691.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.