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Finding the Third Proportional to 834,349 and 1,292,516

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Solution

The third proportional to 834,349 and 1,292,516 is: 2,002,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,349 : 1,292,516 = 1,292,516 : x
  2. Step 2: Convert to fraction form
    834,349/1,292,516 = 1,292,516/x
  3. Step 3: Cross multiply
    834,349x = 1,292,516 × 1,292,516
  4. Step 4: Simplify right side
    834,349x = 1,670,597,610,256
  5. Step 5: Solve for x
    x = 1,670,597,610,256/834,349
  6. Step 6: Final answer
    x = 2,002,276.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.