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Finding the Third Proportional to 828,886 and 1,283,787

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Solution

The third proportional to 828,886 and 1,283,787 is: 1,988,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,886 : 1,283,787 = 1,283,787 : x
  2. Step 2: Convert to fraction form
    828,886/1,283,787 = 1,283,787/x
  3. Step 3: Cross multiply
    828,886x = 1,283,787 × 1,283,787
  4. Step 4: Simplify right side
    828,886x = 1,648,109,061,369
  5. Step 5: Solve for x
    x = 1,648,109,061,369/828,886
  6. Step 6: Final answer
    x = 1,988,342.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.