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Finding the Third Proportional to 569,653.70 and 1,237,107.30

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Solution

The third proportional to 569,653.70 and 1,237,107.30 is: 2,686,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,653.70 : 1,237,107.30 = 1,237,107.30 : x
  2. Step 2: Convert to fraction form
    569,653.70/1,237,107.30 = 1,237,107.30/x
  3. Step 3: Cross multiply
    569,653.70x = 1,237,107.30 × 1,237,107.30
  4. Step 4: Simplify right side
    569,653.70x = 1,530,434,483,311.17
  5. Step 5: Solve for x
    x = 1,530,434,483,311.17/569,653.70
  6. Step 6: Final answer
    x = 2,686,605.01

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Why These Related Problems?

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