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Finding the Third Proportional to 649,715 and 1,004,097

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Solution

The third proportional to 649,715 and 1,004,097 is: 1,551,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,715 : 1,004,097 = 1,004,097 : x
  2. Step 2: Convert to fraction form
    649,715/1,004,097 = 1,004,097/x
  3. Step 3: Cross multiply
    649,715x = 1,004,097 × 1,004,097
  4. Step 4: Simplify right side
    649,715x = 1,008,210,785,409
  5. Step 5: Solve for x
    x = 1,008,210,785,409/649,715
  6. Step 6: Final answer
    x = 1,551,773.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.