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Finding the Third Proportional to 726,582 and 1,079,505

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Solution

The third proportional to 726,582 and 1,079,505 is: 1,603,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,582 : 1,079,505 = 1,079,505 : x
  2. Step 2: Convert to fraction form
    726,582/1,079,505 = 1,079,505/x
  3. Step 3: Cross multiply
    726,582x = 1,079,505 × 1,079,505
  4. Step 4: Simplify right side
    726,582x = 1,165,331,045,025
  5. Step 5: Solve for x
    x = 1,165,331,045,025/726,582
  6. Step 6: Final answer
    x = 1,603,853.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.