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Finding the Third Proportional to 861,960 and 1,364,202

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Solution

The third proportional to 861,960 and 1,364,202 is: 2,159,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,960 : 1,364,202 = 1,364,202 : x
  2. Step 2: Convert to fraction form
    861,960/1,364,202 = 1,364,202/x
  3. Step 3: Cross multiply
    861,960x = 1,364,202 × 1,364,202
  4. Step 4: Simplify right side
    861,960x = 1,861,047,096,804
  5. Step 5: Solve for x
    x = 1,861,047,096,804/861,960
  6. Step 6: Final answer
    x = 2,159,087.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.