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Finding the Third Proportional to 3,212,064 and 4,845,312

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Solution

The third proportional to 3,212,064 and 4,845,312 is: 7,309,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,064 : 4,845,312 = 4,845,312 : x
  2. Step 2: Convert to fraction form
    3,212,064/4,845,312 = 4,845,312/x
  3. Step 3: Cross multiply
    3,212,064x = 4,845,312 × 4,845,312
  4. Step 4: Simplify right side
    3,212,064x = 23,477,048,377,344
  5. Step 5: Solve for x
    x = 23,477,048,377,344/3,212,064
  6. Step 6: Final answer
    x = 7,309,022.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.