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Finding the Third Proportional to 662,245 and 1,019,202

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Solution

The third proportional to 662,245 and 1,019,202 is: 1,568,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,245 : 1,019,202 = 1,019,202 : x
  2. Step 2: Convert to fraction form
    662,245/1,019,202 = 1,019,202/x
  3. Step 3: Cross multiply
    662,245x = 1,019,202 × 1,019,202
  4. Step 4: Simplify right side
    662,245x = 1,038,772,716,804
  5. Step 5: Solve for x
    x = 1,038,772,716,804/662,245
  6. Step 6: Final answer
    x = 1,568,562.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.