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Finding the Third Proportional to 565,444 and 1,237,832

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Solution

The third proportional to 565,444 and 1,237,832 is: 2,709,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,444 : 1,237,832 = 1,237,832 : x
  2. Step 2: Convert to fraction form
    565,444/1,237,832 = 1,237,832/x
  3. Step 3: Cross multiply
    565,444x = 1,237,832 × 1,237,832
  4. Step 4: Simplify right side
    565,444x = 1,532,228,060,224
  5. Step 5: Solve for x
    x = 1,532,228,060,224/565,444
  6. Step 6: Final answer
    x = 2,709,778.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.