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Finding the Third Proportional to 743,123 and 1,138,674

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Solution

The third proportional to 743,123 and 1,138,674 is: 1,744,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,123 : 1,138,674 = 1,138,674 : x
  2. Step 2: Convert to fraction form
    743,123/1,138,674 = 1,138,674/x
  3. Step 3: Cross multiply
    743,123x = 1,138,674 × 1,138,674
  4. Step 4: Simplify right side
    743,123x = 1,296,578,478,276
  5. Step 5: Solve for x
    x = 1,296,578,478,276/743,123
  6. Step 6: Final answer
    x = 1,744,769.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.