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Finding the Third Proportional to 724,673 and 1,574,206

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Solution

The third proportional to 724,673 and 1,574,206 is: 3,419,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,673 : 1,574,206 = 1,574,206 : x
  2. Step 2: Convert to fraction form
    724,673/1,574,206 = 1,574,206/x
  3. Step 3: Cross multiply
    724,673x = 1,574,206 × 1,574,206
  4. Step 4: Simplify right side
    724,673x = 2,478,124,530,436
  5. Step 5: Solve for x
    x = 2,478,124,530,436/724,673
  6. Step 6: Final answer
    x = 3,419,645.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.