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Finding the Third Proportional to 709,431 and 1,019,859

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Solution

The third proportional to 709,431 and 1,019,859 is: 1,466,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,431 : 1,019,859 = 1,019,859 : x
  2. Step 2: Convert to fraction form
    709,431/1,019,859 = 1,019,859/x
  3. Step 3: Cross multiply
    709,431x = 1,019,859 × 1,019,859
  4. Step 4: Simplify right side
    709,431x = 1,040,112,379,881
  5. Step 5: Solve for x
    x = 1,040,112,379,881/709,431
  6. Step 6: Final answer
    x = 1,466,121.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.