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Finding the Third Proportional to 566,564 and 1,217,329

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Solution

The third proportional to 566,564 and 1,217,329 is: 2,615,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,564 : 1,217,329 = 1,217,329 : x
  2. Step 2: Convert to fraction form
    566,564/1,217,329 = 1,217,329/x
  3. Step 3: Cross multiply
    566,564x = 1,217,329 × 1,217,329
  4. Step 4: Simplify right side
    566,564x = 1,481,889,894,241
  5. Step 5: Solve for x
    x = 1,481,889,894,241/566,564
  6. Step 6: Final answer
    x = 2,615,573.69

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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.