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Finding the Third Proportional to 3,090,903 and 4,728,142

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Solution

The third proportional to 3,090,903 and 4,728,142 is: 7,232,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090,903 : 4,728,142 = 4,728,142 : x
  2. Step 2: Convert to fraction form
    3,090,903/4,728,142 = 4,728,142/x
  3. Step 3: Cross multiply
    3,090,903x = 4,728,142 × 4,728,142
  4. Step 4: Simplify right side
    3,090,903x = 22,355,326,772,164
  5. Step 5: Solve for x
    x = 22,355,326,772,164/3,090,903
  6. Step 6: Final answer
    x = 7,232,619.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.