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Finding the Third Proportional to 753,416 and 1,778,174

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Solution

The third proportional to 753,416 and 1,778,174 is: 4,196,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,416 : 1,778,174 = 1,778,174 : x
  2. Step 2: Convert to fraction form
    753,416/1,778,174 = 1,778,174/x
  3. Step 3: Cross multiply
    753,416x = 1,778,174 × 1,778,174
  4. Step 4: Simplify right side
    753,416x = 3,161,902,774,276
  5. Step 5: Solve for x
    x = 3,161,902,774,276/753,416
  6. Step 6: Final answer
    x = 4,196,755.54

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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.