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Finding the Third Proportional to 779,268 and 1,056,006

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Solution

The third proportional to 779,268 and 1,056,006 is: 1,431,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,268 : 1,056,006 = 1,056,006 : x
  2. Step 2: Convert to fraction form
    779,268/1,056,006 = 1,056,006/x
  3. Step 3: Cross multiply
    779,268x = 1,056,006 × 1,056,006
  4. Step 4: Simplify right side
    779,268x = 1,115,148,672,036
  5. Step 5: Solve for x
    x = 1,115,148,672,036/779,268
  6. Step 6: Final answer
    x = 1,431,020.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.