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Finding the Third Proportional to 570,674 and 1,205,005

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Solution

The third proportional to 570,674 and 1,205,005 is: 2,544,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,674 : 1,205,005 = 1,205,005 : x
  2. Step 2: Convert to fraction form
    570,674/1,205,005 = 1,205,005/x
  3. Step 3: Cross multiply
    570,674x = 1,205,005 × 1,205,005
  4. Step 4: Simplify right side
    570,674x = 1,452,037,050,025
  5. Step 5: Solve for x
    x = 1,452,037,050,025/570,674
  6. Step 6: Final answer
    x = 2,544,424.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.