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Finding the Third Proportional to 864,680 and 1,231,752

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Solution

The third proportional to 864,680 and 1,231,752 is: 1,754,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,680 : 1,231,752 = 1,231,752 : x
  2. Step 2: Convert to fraction form
    864,680/1,231,752 = 1,231,752/x
  3. Step 3: Cross multiply
    864,680x = 1,231,752 × 1,231,752
  4. Step 4: Simplify right side
    864,680x = 1,517,212,989,504
  5. Step 5: Solve for x
    x = 1,517,212,989,504/864,680
  6. Step 6: Final answer
    x = 1,754,652.58

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.