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Finding the Third Proportional to 676,847 and 1,128,023

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Solution

The third proportional to 676,847 and 1,128,023 is: 1,879,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,847 : 1,128,023 = 1,128,023 : x
  2. Step 2: Convert to fraction form
    676,847/1,128,023 = 1,128,023/x
  3. Step 3: Cross multiply
    676,847x = 1,128,023 × 1,128,023
  4. Step 4: Simplify right side
    676,847x = 1,272,435,888,529
  5. Step 5: Solve for x
    x = 1,272,435,888,529/676,847
  6. Step 6: Final answer
    x = 1,879,946.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.