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Finding the Third Proportional to 674,615 and 1,025,736

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Solution

The third proportional to 674,615 and 1,025,736 is: 1,559,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,615 : 1,025,736 = 1,025,736 : x
  2. Step 2: Convert to fraction form
    674,615/1,025,736 = 1,025,736/x
  3. Step 3: Cross multiply
    674,615x = 1,025,736 × 1,025,736
  4. Step 4: Simplify right side
    674,615x = 1,052,134,341,696
  5. Step 5: Solve for x
    x = 1,052,134,341,696/674,615
  6. Step 6: Final answer
    x = 1,559,607.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.