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Finding the Third Proportional to 564,568 and 1,210,999

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Solution

The third proportional to 564,568 and 1,210,999 is: 2,597,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,568 : 1,210,999 = 1,210,999 : x
  2. Step 2: Convert to fraction form
    564,568/1,210,999 = 1,210,999/x
  3. Step 3: Cross multiply
    564,568x = 1,210,999 × 1,210,999
  4. Step 4: Simplify right side
    564,568x = 1,466,518,578,001
  5. Step 5: Solve for x
    x = 1,466,518,578,001/564,568
  6. Step 6: Final answer
    x = 2,597,594.23

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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.