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Finding the Third Proportional to 857,839 and 1,856,886

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Solution

The third proportional to 857,839 and 1,856,886 is: 4,019,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,839 : 1,856,886 = 1,856,886 : x
  2. Step 2: Convert to fraction form
    857,839/1,856,886 = 1,856,886/x
  3. Step 3: Cross multiply
    857,839x = 1,856,886 × 1,856,886
  4. Step 4: Simplify right side
    857,839x = 3,448,025,616,996
  5. Step 5: Solve for x
    x = 3,448,025,616,996/857,839
  6. Step 6: Final answer
    x = 4,019,432.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.