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Finding the Third Proportional to 828,043 and 1,774,130

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Solution

The third proportional to 828,043 and 1,774,130 is: 3,801,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,043 : 1,774,130 = 1,774,130 : x
  2. Step 2: Convert to fraction form
    828,043/1,774,130 = 1,774,130/x
  3. Step 3: Cross multiply
    828,043x = 1,774,130 × 1,774,130
  4. Step 4: Simplify right side
    828,043x = 3,147,537,256,900
  5. Step 5: Solve for x
    x = 3,147,537,256,900/828,043
  6. Step 6: Final answer
    x = 3,801,176.09

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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.