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Finding the Third Proportional to 566,576 and 1,217,356

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Solution

The third proportional to 566,576 and 1,217,356 is: 2,615,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,576 : 1,217,356 = 1,217,356 : x
  2. Step 2: Convert to fraction form
    566,576/1,217,356 = 1,217,356/x
  3. Step 3: Cross multiply
    566,576x = 1,217,356 × 1,217,356
  4. Step 4: Simplify right side
    566,576x = 1,481,955,630,736
  5. Step 5: Solve for x
    x = 1,481,955,630,736/566,576
  6. Step 6: Final answer
    x = 2,615,634.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.