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Finding the Third Proportional to 839,810 and 1,131,411

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Solution

The third proportional to 839,810 and 1,131,411 is: 1,524,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,810 : 1,131,411 = 1,131,411 : x
  2. Step 2: Convert to fraction form
    839,810/1,131,411 = 1,131,411/x
  3. Step 3: Cross multiply
    839,810x = 1,131,411 × 1,131,411
  4. Step 4: Simplify right side
    839,810x = 1,280,090,850,921
  5. Step 5: Solve for x
    x = 1,280,090,850,921/839,810
  6. Step 6: Final answer
    x = 1,524,262.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.