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Finding the Third Proportional to 685,802 and 1,054,767

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Solution

The third proportional to 685,802 and 1,054,767 is: 1,622,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,802 : 1,054,767 = 1,054,767 : x
  2. Step 2: Convert to fraction form
    685,802/1,054,767 = 1,054,767/x
  3. Step 3: Cross multiply
    685,802x = 1,054,767 × 1,054,767
  4. Step 4: Simplify right side
    685,802x = 1,112,533,424,289
  5. Step 5: Solve for x
    x = 1,112,533,424,289/685,802
  6. Step 6: Final answer
    x = 1,622,237.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.