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Finding the Third Proportional to 570,717 and 1,205,059

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Solution

The third proportional to 570,717 and 1,205,059 is: 2,544,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,717 : 1,205,059 = 1,205,059 : x
  2. Step 2: Convert to fraction form
    570,717/1,205,059 = 1,205,059/x
  3. Step 3: Cross multiply
    570,717x = 1,205,059 × 1,205,059
  4. Step 4: Simplify right side
    570,717x = 1,452,167,193,481
  5. Step 5: Solve for x
    x = 1,452,167,193,481/570,717
  6. Step 6: Final answer
    x = 2,544,461.08

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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.