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Finding the Third Proportional to 3,160,028 and 4,768,014

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Solution

The third proportional to 3,160,028 and 4,768,014 is: 7,194,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,028 : 4,768,014 = 4,768,014 : x
  2. Step 2: Convert to fraction form
    3,160,028/4,768,014 = 4,768,014/x
  3. Step 3: Cross multiply
    3,160,028x = 4,768,014 × 4,768,014
  4. Step 4: Simplify right side
    3,160,028x = 22,733,957,504,196
  5. Step 5: Solve for x
    x = 22,733,957,504,196/3,160,028
  6. Step 6: Final answer
    x = 7,194,226.60

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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.