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Finding the Third Proportional to 2,282,564 and 5,398,012

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Solution

The third proportional to 2,282,564 and 5,398,012 is: 12,765,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282,564 : 5,398,012 = 5,398,012 : x
  2. Step 2: Convert to fraction form
    2,282,564/5,398,012 = 5,398,012/x
  3. Step 3: Cross multiply
    2,282,564x = 5,398,012 × 5,398,012
  4. Step 4: Simplify right side
    2,282,564x = 29,138,533,552,144
  5. Step 5: Solve for x
    x = 29,138,533,552,144/2,282,564
  6. Step 6: Final answer
    x = 12,765,702.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.