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Finding the Third Proportional to 569,784 and 845,892

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Solution

The third proportional to 569,784 and 845,892 is: 1,255,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,784 : 845,892 = 845,892 : x
  2. Step 2: Convert to fraction form
    569,784/845,892 = 845,892/x
  3. Step 3: Cross multiply
    569,784x = 845,892 × 845,892
  4. Step 4: Simplify right side
    569,784x = 715,533,275,664
  5. Step 5: Solve for x
    x = 715,533,275,664/569,784
  6. Step 6: Final answer
    x = 1,255,797.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.