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Finding the Third Proportional to 569,866 and 1,216,004

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Solution

The third proportional to 569,866 and 1,216,004 is: 2,594,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,866 : 1,216,004 = 1,216,004 : x
  2. Step 2: Convert to fraction form
    569,866/1,216,004 = 1,216,004/x
  3. Step 3: Cross multiply
    569,866x = 1,216,004 × 1,216,004
  4. Step 4: Simplify right side
    569,866x = 1,478,665,728,016
  5. Step 5: Solve for x
    x = 1,478,665,728,016/569,866
  6. Step 6: Final answer
    x = 2,594,760.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.