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Finding the Third Proportional to 500,664 and 1,042,764

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Solution

The third proportional to 500,664 and 1,042,764 is: 2,171,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,664 : 1,042,764 = 1,042,764 : x
  2. Step 2: Convert to fraction form
    500,664/1,042,764 = 1,042,764/x
  3. Step 3: Cross multiply
    500,664x = 1,042,764 × 1,042,764
  4. Step 4: Simplify right side
    500,664x = 1,087,356,759,696
  5. Step 5: Solve for x
    x = 1,087,356,759,696/500,664
  6. Step 6: Final answer
    x = 2,171,829.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.