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Finding the Third Proportional to 570,024 and 1,204,416

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Solution

The third proportional to 570,024 and 1,204,416 is: 2,544,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,024 : 1,204,416 = 1,204,416 : x
  2. Step 2: Convert to fraction form
    570,024/1,204,416 = 1,204,416/x
  3. Step 3: Cross multiply
    570,024x = 1,204,416 × 1,204,416
  4. Step 4: Simplify right side
    570,024x = 1,450,617,901,056
  5. Step 5: Solve for x
    x = 1,450,617,901,056/570,024
  6. Step 6: Final answer
    x = 2,544,836.54

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Why These Related Problems?

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