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Finding the Third Proportional to 1,071,638 and 1,455,405

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Solution

The third proportional to 1,071,638 and 1,455,405 is: 1,976,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,638 : 1,455,405 = 1,455,405 : x
  2. Step 2: Convert to fraction form
    1,071,638/1,455,405 = 1,455,405/x
  3. Step 3: Cross multiply
    1,071,638x = 1,455,405 × 1,455,405
  4. Step 4: Simplify right side
    1,071,638x = 2,118,203,714,025
  5. Step 5: Solve for x
    x = 2,118,203,714,025/1,071,638
  6. Step 6: Final answer
    x = 1,976,603.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.