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Finding the Third Proportional to 772,137 and 1,173,948

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Solution

The third proportional to 772,137 and 1,173,948 is: 1,784,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,137 : 1,173,948 = 1,173,948 : x
  2. Step 2: Convert to fraction form
    772,137/1,173,948 = 1,173,948/x
  3. Step 3: Cross multiply
    772,137x = 1,173,948 × 1,173,948
  4. Step 4: Simplify right side
    772,137x = 1,378,153,906,704
  5. Step 5: Solve for x
    x = 1,378,153,906,704/772,137
  6. Step 6: Final answer
    x = 1,784,856.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.