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Finding the Third Proportional to 772,548 and 1,193,841

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Solution

The third proportional to 772,548 and 1,193,841 is: 1,844,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,548 : 1,193,841 = 1,193,841 : x
  2. Step 2: Convert to fraction form
    772,548/1,193,841 = 1,193,841/x
  3. Step 3: Cross multiply
    772,548x = 1,193,841 × 1,193,841
  4. Step 4: Simplify right side
    772,548x = 1,425,256,333,281
  5. Step 5: Solve for x
    x = 1,425,256,333,281/772,548
  6. Step 6: Final answer
    x = 1,844,877.38

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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.