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Finding the Third Proportional to 566,557 and 1,217,317

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Solution

The third proportional to 566,557 and 1,217,317 is: 2,615,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,557 : 1,217,317 = 1,217,317 : x
  2. Step 2: Convert to fraction form
    566,557/1,217,317 = 1,217,317/x
  3. Step 3: Cross multiply
    566,557x = 1,217,317 × 1,217,317
  4. Step 4: Simplify right side
    566,557x = 1,481,860,678,489
  5. Step 5: Solve for x
    x = 1,481,860,678,489/566,557
  6. Step 6: Final answer
    x = 2,615,554.44

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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.