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Finding the Third Proportional to 674,791 and 1,019,158

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Solution

The third proportional to 674,791 and 1,019,158 is: 1,539,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,791 : 1,019,158 = 1,019,158 : x
  2. Step 2: Convert to fraction form
    674,791/1,019,158 = 1,019,158/x
  3. Step 3: Cross multiply
    674,791x = 1,019,158 × 1,019,158
  4. Step 4: Simplify right side
    674,791x = 1,038,683,028,964
  5. Step 5: Solve for x
    x = 1,038,683,028,964/674,791
  6. Step 6: Final answer
    x = 1,539,266.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.