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Finding the Third Proportional to 622,080 and 932,944

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Solution

The third proportional to 622,080 and 932,944 is: 1,399,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,080 : 932,944 = 932,944 : x
  2. Step 2: Convert to fraction form
    622,080/932,944 = 932,944/x
  3. Step 3: Cross multiply
    622,080x = 932,944 × 932,944
  4. Step 4: Simplify right side
    622,080x = 870,384,507,136
  5. Step 5: Solve for x
    x = 870,384,507,136/622,080
  6. Step 6: Final answer
    x = 1,399,152.05

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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.