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Finding the Third Proportional to 622,082 and 932,947

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Solution

The third proportional to 622,082 and 932,947 is: 1,399,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,082 : 932,947 = 932,947 : x
  2. Step 2: Convert to fraction form
    622,082/932,947 = 932,947/x
  3. Step 3: Cross multiply
    622,082x = 932,947 × 932,947
  4. Step 4: Simplify right side
    622,082x = 870,390,104,809
  5. Step 5: Solve for x
    x = 870,390,104,809/622,082
  6. Step 6: Final answer
    x = 1,399,156.55

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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.