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Finding the Third Proportional to 684,115 and 1,467,855

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Solution

The third proportional to 684,115 and 1,467,855 is: 3,149,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,115 : 1,467,855 = 1,467,855 : x
  2. Step 2: Convert to fraction form
    684,115/1,467,855 = 1,467,855/x
  3. Step 3: Cross multiply
    684,115x = 1,467,855 × 1,467,855
  4. Step 4: Simplify right side
    684,115x = 2,154,598,301,025
  5. Step 5: Solve for x
    x = 2,154,598,301,025/684,115
  6. Step 6: Final answer
    x = 3,149,468.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.