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Finding the Third Proportional to 965,358 and 1,446,174

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Solution

The third proportional to 965,358 and 1,446,174 is: 2,166,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,358 : 1,446,174 = 1,446,174 : x
  2. Step 2: Convert to fraction form
    965,358/1,446,174 = 1,446,174/x
  3. Step 3: Cross multiply
    965,358x = 1,446,174 × 1,446,174
  4. Step 4: Simplify right side
    965,358x = 2,091,419,238,276
  5. Step 5: Solve for x
    x = 2,091,419,238,276/965,358
  6. Step 6: Final answer
    x = 2,166,470.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.