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Finding the Third Proportional to 751,196 and 1,771,514

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Solution

The third proportional to 751,196 and 1,771,514 is: 4,177,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,196 : 1,771,514 = 1,771,514 : x
  2. Step 2: Convert to fraction form
    751,196/1,771,514 = 1,771,514/x
  3. Step 3: Cross multiply
    751,196x = 1,771,514 × 1,771,514
  4. Step 4: Simplify right side
    751,196x = 3,138,261,852,196
  5. Step 5: Solve for x
    x = 3,138,261,852,196/751,196
  6. Step 6: Final answer
    x = 4,177,687.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.