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Finding the Third Proportional to 3,280,407 and 4,617,522.94

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Solution

The third proportional to 3,280,407 and 4,617,522.94 is: 6,499,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280,407 : 4,617,522.94 = 4,617,522.94 : x
  2. Step 2: Convert to fraction form
    3,280,407/4,617,522.94 = 4,617,522.94/x
  3. Step 3: Cross multiply
    3,280,407x = 4,617,522.94 × 4,617,522.94
  4. Step 4: Simplify right side
    3,280,407x = 21,321,518,078,338.63
  5. Step 5: Solve for x
    x = 21,321,518,078,338.63/3,280,407
  6. Step 6: Final answer
    x = 6,499,656.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.