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Finding the Third Proportional to 751,253 and 1,771,623

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Solution

The third proportional to 751,253 and 1,771,623 is: 4,177,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,253 : 1,771,623 = 1,771,623 : x
  2. Step 2: Convert to fraction form
    751,253/1,771,623 = 1,771,623/x
  3. Step 3: Cross multiply
    751,253x = 1,771,623 × 1,771,623
  4. Step 4: Simplify right side
    751,253x = 3,138,648,054,129
  5. Step 5: Solve for x
    x = 3,138,648,054,129/751,253
  6. Step 6: Final answer
    x = 4,177,884.22

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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.