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Finding the Third Proportional to 570,642 and 1,349,505

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Solution

The third proportional to 570,642 and 1,349,505 is: 3,191,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,642 : 1,349,505 = 1,349,505 : x
  2. Step 2: Convert to fraction form
    570,642/1,349,505 = 1,349,505/x
  3. Step 3: Cross multiply
    570,642x = 1,349,505 × 1,349,505
  4. Step 4: Simplify right side
    570,642x = 1,821,163,745,025
  5. Step 5: Solve for x
    x = 1,821,163,745,025/570,642
  6. Step 6: Final answer
    x = 3,191,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.