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Finding the Third Proportional to 571,968 and 1,219,932

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Solution

The third proportional to 571,968 and 1,219,932 is: 2,601,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,968 : 1,219,932 = 1,219,932 : x
  2. Step 2: Convert to fraction form
    571,968/1,219,932 = 1,219,932/x
  3. Step 3: Cross multiply
    571,968x = 1,219,932 × 1,219,932
  4. Step 4: Simplify right side
    571,968x = 1,488,234,084,624
  5. Step 5: Solve for x
    x = 1,488,234,084,624/571,968
  6. Step 6: Final answer
    x = 2,601,953.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.