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Finding the Third Proportional to 492,804 and 1,055,592

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Solution

The third proportional to 492,804 and 1,055,592 is: 2,261,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,804 : 1,055,592 = 1,055,592 : x
  2. Step 2: Convert to fraction form
    492,804/1,055,592 = 1,055,592/x
  3. Step 3: Cross multiply
    492,804x = 1,055,592 × 1,055,592
  4. Step 4: Simplify right side
    492,804x = 1,114,274,470,464
  5. Step 5: Solve for x
    x = 1,114,274,470,464/492,804
  6. Step 6: Final answer
    x = 2,261,090.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.