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Finding the Third Proportional to 686,820 and 1,491,804

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Solution

The third proportional to 686,820 and 1,491,804 is: 3,240,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,820 : 1,491,804 = 1,491,804 : x
  2. Step 2: Convert to fraction form
    686,820/1,491,804 = 1,491,804/x
  3. Step 3: Cross multiply
    686,820x = 1,491,804 × 1,491,804
  4. Step 4: Simplify right side
    686,820x = 2,225,479,174,416
  5. Step 5: Solve for x
    x = 2,225,479,174,416/686,820
  6. Step 6: Final answer
    x = 3,240,265.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.