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Finding the Third Proportional to 571,620 and 1,219,164

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Solution

The third proportional to 571,620 and 1,219,164 is: 2,600,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,620 : 1,219,164 = 1,219,164 : x
  2. Step 2: Convert to fraction form
    571,620/1,219,164 = 1,219,164/x
  3. Step 3: Cross multiply
    571,620x = 1,219,164 × 1,219,164
  4. Step 4: Simplify right side
    571,620x = 1,486,360,858,896
  5. Step 5: Solve for x
    x = 1,486,360,858,896/571,620
  6. Step 6: Final answer
    x = 2,600,260.42

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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.