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Finding the Third Proportional to 864,724 and 1,892,345

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Solution

The third proportional to 864,724 and 1,892,345 is: 4,141,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,724 : 1,892,345 = 1,892,345 : x
  2. Step 2: Convert to fraction form
    864,724/1,892,345 = 1,892,345/x
  3. Step 3: Cross multiply
    864,724x = 1,892,345 × 1,892,345
  4. Step 4: Simplify right side
    864,724x = 3,580,969,599,025
  5. Step 5: Solve for x
    x = 3,580,969,599,025/864,724
  6. Step 6: Final answer
    x = 4,141,170.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.