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Finding the Third Proportional to 545,945 and 1,181,314

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Solution

The third proportional to 545,945 and 1,181,314 is: 2,556,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,945 : 1,181,314 = 1,181,314 : x
  2. Step 2: Convert to fraction form
    545,945/1,181,314 = 1,181,314/x
  3. Step 3: Cross multiply
    545,945x = 1,181,314 × 1,181,314
  4. Step 4: Simplify right side
    545,945x = 1,395,502,766,596
  5. Step 5: Solve for x
    x = 1,395,502,766,596/545,945
  6. Step 6: Final answer
    x = 2,556,123.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.