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Finding the Third Proportional to 571,544 and 1,241,584

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Solution

The third proportional to 571,544 and 1,241,584 is: 2,697,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,544 : 1,241,584 = 1,241,584 : x
  2. Step 2: Convert to fraction form
    571,544/1,241,584 = 1,241,584/x
  3. Step 3: Cross multiply
    571,544x = 1,241,584 × 1,241,584
  4. Step 4: Simplify right side
    571,544x = 1,541,530,829,056
  5. Step 5: Solve for x
    x = 1,541,530,829,056/571,544
  6. Step 6: Final answer
    x = 2,697,134.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.