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Finding the Third Proportional to 2,280,096 and 4,817,664

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Solution

The third proportional to 2,280,096 and 4,817,664 is: 10,179,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280,096 : 4,817,664 = 4,817,664 : x
  2. Step 2: Convert to fraction form
    2,280,096/4,817,664 = 4,817,664/x
  3. Step 3: Cross multiply
    2,280,096x = 4,817,664 × 4,817,664
  4. Step 4: Simplify right side
    2,280,096x = 23,209,886,416,896
  5. Step 5: Solve for x
    x = 23,209,886,416,896/2,280,096
  6. Step 6: Final answer
    x = 10,179,346.14

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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.