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Finding the Third Proportional to 668,993 and 1,019,174

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Solution

The third proportional to 668,993 and 1,019,174 is: 1,552,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,993 : 1,019,174 = 1,019,174 : x
  2. Step 2: Convert to fraction form
    668,993/1,019,174 = 1,019,174/x
  3. Step 3: Cross multiply
    668,993x = 1,019,174 × 1,019,174
  4. Step 4: Simplify right side
    668,993x = 1,038,715,642,276
  5. Step 5: Solve for x
    x = 1,038,715,642,276/668,993
  6. Step 6: Final answer
    x = 1,552,655.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.