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Finding the Third Proportional to 513,829 and 1,083,053

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Solution

The third proportional to 513,829 and 1,083,053 is: 2,282,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,829 : 1,083,053 = 1,083,053 : x
  2. Step 2: Convert to fraction form
    513,829/1,083,053 = 1,083,053/x
  3. Step 3: Cross multiply
    513,829x = 1,083,053 × 1,083,053
  4. Step 4: Simplify right side
    513,829x = 1,173,003,800,809
  5. Step 5: Solve for x
    x = 1,173,003,800,809/513,829
  6. Step 6: Final answer
    x = 2,282,868.04

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.