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Finding the Third Proportional to 828,056 and 1,774,160

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Solution

The third proportional to 828,056 and 1,774,160 is: 3,801,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,056 : 1,774,160 = 1,774,160 : x
  2. Step 2: Convert to fraction form
    828,056/1,774,160 = 1,774,160/x
  3. Step 3: Cross multiply
    828,056x = 1,774,160 × 1,774,160
  4. Step 4: Simplify right side
    828,056x = 3,147,643,705,600
  5. Step 5: Solve for x
    x = 3,147,643,705,600/828,056
  6. Step 6: Final answer
    x = 3,801,244.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.