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Finding the Third Proportional to 571,590 and 1,219,098

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Solution

The third proportional to 571,590 and 1,219,098 is: 2,600,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,590 : 1,219,098 = 1,219,098 : x
  2. Step 2: Convert to fraction form
    571,590/1,219,098 = 1,219,098/x
  3. Step 3: Cross multiply
    571,590x = 1,219,098 × 1,219,098
  4. Step 4: Simplify right side
    571,590x = 1,486,199,933,604
  5. Step 5: Solve for x
    x = 1,486,199,933,604/571,590
  6. Step 6: Final answer
    x = 2,600,115.35

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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.