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Finding the Third Proportional to 2,652,320 and 5,723,968

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Solution

The third proportional to 2,652,320 and 5,723,968 is: 12,352,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,320 : 5,723,968 = 5,723,968 : x
  2. Step 2: Convert to fraction form
    2,652,320/5,723,968 = 5,723,968/x
  3. Step 3: Cross multiply
    2,652,320x = 5,723,968 × 5,723,968
  4. Step 4: Simplify right side
    2,652,320x = 32,763,809,665,024
  5. Step 5: Solve for x
    x = 32,763,809,665,024/2,652,320
  6. Step 6: Final answer
    x = 12,352,887.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.