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Finding the Third Proportional to 566,091 and 825,804

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Solution

The third proportional to 566,091 and 825,804 is: 1,204,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,091 : 825,804 = 825,804 : x
  2. Step 2: Convert to fraction form
    566,091/825,804 = 825,804/x
  3. Step 3: Cross multiply
    566,091x = 825,804 × 825,804
  4. Step 4: Simplify right side
    566,091x = 681,952,246,416
  5. Step 5: Solve for x
    x = 681,952,246,416/566,091
  6. Step 6: Final answer
    x = 1,204,668.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.