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Finding the Third Proportional to 828,048 and 1,774,140

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Solution

The third proportional to 828,048 and 1,774,140 is: 3,801,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,048 : 1,774,140 = 1,774,140 : x
  2. Step 2: Convert to fraction form
    828,048/1,774,140 = 1,774,140/x
  3. Step 3: Cross multiply
    828,048x = 1,774,140 × 1,774,140
  4. Step 4: Simplify right side
    828,048x = 3,147,572,739,600
  5. Step 5: Solve for x
    x = 3,147,572,739,600/828,048
  6. Step 6: Final answer
    x = 3,801,195.99

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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.