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Finding the Third Proportional to 1,309,853 and 2,863,152

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Solution

The third proportional to 1,309,853 and 2,863,152 is: 6,258,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,853 : 2,863,152 = 2,863,152 : x
  2. Step 2: Convert to fraction form
    1,309,853/2,863,152 = 2,863,152/x
  3. Step 3: Cross multiply
    1,309,853x = 2,863,152 × 2,863,152
  4. Step 4: Simplify right side
    1,309,853x = 8,197,639,375,104
  5. Step 5: Solve for x
    x = 8,197,639,375,104/1,309,853
  6. Step 6: Final answer
    x = 6,258,442.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.