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Finding the Third Proportional to 570,025 and 1,204,418

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Solution

The third proportional to 570,025 and 1,204,418 is: 2,544,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,025 : 1,204,418 = 1,204,418 : x
  2. Step 2: Convert to fraction form
    570,025/1,204,418 = 1,204,418/x
  3. Step 3: Cross multiply
    570,025x = 1,204,418 × 1,204,418
  4. Step 4: Simplify right side
    570,025x = 1,450,622,718,724
  5. Step 5: Solve for x
    x = 1,450,622,718,724/570,025
  6. Step 6: Final answer
    x = 2,544,840.52

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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.