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Finding the Third Proportional to 674,795 and 1,019,164

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Solution

The third proportional to 674,795 and 1,019,164 is: 1,539,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,795 : 1,019,164 = 1,019,164 : x
  2. Step 2: Convert to fraction form
    674,795/1,019,164 = 1,019,164/x
  3. Step 3: Cross multiply
    674,795x = 1,019,164 × 1,019,164
  4. Step 4: Simplify right side
    674,795x = 1,038,695,258,896
  5. Step 5: Solve for x
    x = 1,038,695,258,896/674,795
  6. Step 6: Final answer
    x = 1,539,275.27

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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.