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Finding the Third Proportional to 2,168,064 and 3,220,656

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Solution

The third proportional to 2,168,064 and 3,220,656 is: 4,784,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168,064 : 3,220,656 = 3,220,656 : x
  2. Step 2: Convert to fraction form
    2,168,064/3,220,656 = 3,220,656/x
  3. Step 3: Cross multiply
    2,168,064x = 3,220,656 × 3,220,656
  4. Step 4: Simplify right side
    2,168,064x = 10,372,625,070,336
  5. Step 5: Solve for x
    x = 10,372,625,070,336/2,168,064
  6. Step 6: Final answer
    x = 4,784,279.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.