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Finding the Third Proportional to 564,262 and 1,217,097

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Solution

The third proportional to 564,262 and 1,217,097 is: 2,625,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,262 : 1,217,097 = 1,217,097 : x
  2. Step 2: Convert to fraction form
    564,262/1,217,097 = 1,217,097/x
  3. Step 3: Cross multiply
    564,262x = 1,217,097 × 1,217,097
  4. Step 4: Simplify right side
    564,262x = 1,481,325,107,409
  5. Step 5: Solve for x
    x = 1,481,325,107,409/564,262
  6. Step 6: Final answer
    x = 2,625,243.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.