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Finding the Third Proportional to 622,044 and 932,904

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Solution

The third proportional to 622,044 and 932,904 is: 1,399,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,044 : 932,904 = 932,904 : x
  2. Step 2: Convert to fraction form
    622,044/932,904 = 932,904/x
  3. Step 3: Cross multiply
    622,044x = 932,904 × 932,904
  4. Step 4: Simplify right side
    622,044x = 870,309,873,216
  5. Step 5: Solve for x
    x = 870,309,873,216/622,044
  6. Step 6: Final answer
    x = 1,399,113.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.