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Finding the Third Proportional to 849,078 and 1,254,177

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Solution

The third proportional to 849,078 and 1,254,177 is: 1,852,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,078 : 1,254,177 = 1,254,177 : x
  2. Step 2: Convert to fraction form
    849,078/1,254,177 = 1,254,177/x
  3. Step 3: Cross multiply
    849,078x = 1,254,177 × 1,254,177
  4. Step 4: Simplify right side
    849,078x = 1,572,959,947,329
  5. Step 5: Solve for x
    x = 1,572,959,947,329/849,078
  6. Step 6: Final answer
    x = 1,852,550.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.