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Finding the Third Proportional to 772,278 and 1,195,785

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Solution

The third proportional to 772,278 and 1,195,785 is: 1,851,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,278 : 1,195,785 = 1,195,785 : x
  2. Step 2: Convert to fraction form
    772,278/1,195,785 = 1,195,785/x
  3. Step 3: Cross multiply
    772,278x = 1,195,785 × 1,195,785
  4. Step 4: Simplify right side
    772,278x = 1,429,901,766,225
  5. Step 5: Solve for x
    x = 1,429,901,766,225/772,278
  6. Step 6: Final answer
    x = 1,851,537.61

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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.