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Finding the Third Proportional to 1,383,114 and 2,834,511

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Solution

The third proportional to 1,383,114 and 2,834,511 is: 5,808,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,114 : 2,834,511 = 2,834,511 : x
  2. Step 2: Convert to fraction form
    1,383,114/2,834,511 = 2,834,511/x
  3. Step 3: Cross multiply
    1,383,114x = 2,834,511 × 2,834,511
  4. Step 4: Simplify right side
    1,383,114x = 8,034,452,609,121
  5. Step 5: Solve for x
    x = 8,034,452,609,121/1,383,114
  6. Step 6: Final answer
    x = 5,808,959.07

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.