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Finding the Third Proportional to 786,323 and 1,719,859

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Solution

The third proportional to 786,323 and 1,719,859 is: 3,761,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,323 : 1,719,859 = 1,719,859 : x
  2. Step 2: Convert to fraction form
    786,323/1,719,859 = 1,719,859/x
  3. Step 3: Cross multiply
    786,323x = 1,719,859 × 1,719,859
  4. Step 4: Simplify right side
    786,323x = 2,957,914,979,881
  5. Step 5: Solve for x
    x = 2,957,914,979,881/786,323
  6. Step 6: Final answer
    x = 3,761,704.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.