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Finding the Third Proportional to 892,864 and 1,347,346

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Solution

The third proportional to 892,864 and 1,347,346 is: 2,033,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,864 : 1,347,346 = 1,347,346 : x
  2. Step 2: Convert to fraction form
    892,864/1,347,346 = 1,347,346/x
  3. Step 3: Cross multiply
    892,864x = 1,347,346 × 1,347,346
  4. Step 4: Simplify right side
    892,864x = 1,815,341,243,716
  5. Step 5: Solve for x
    x = 1,815,341,243,716/892,864
  6. Step 6: Final answer
    x = 2,033,166.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.