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Finding the Third Proportional to 840,307 and 1,843,886

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Solution

The third proportional to 840,307 and 1,843,886 is: 4,046,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,307 : 1,843,886 = 1,843,886 : x
  2. Step 2: Convert to fraction form
    840,307/1,843,886 = 1,843,886/x
  3. Step 3: Cross multiply
    840,307x = 1,843,886 × 1,843,886
  4. Step 4: Simplify right side
    840,307x = 3,399,915,580,996
  5. Step 5: Solve for x
    x = 3,399,915,580,996/840,307
  6. Step 6: Final answer
    x = 4,046,039.82

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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.