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Finding the Third Proportional to 2,971,968 and 4,591,890

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Solution

The third proportional to 2,971,968 and 4,591,890 is: 7,094,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,968 : 4,591,890 = 4,591,890 : x
  2. Step 2: Convert to fraction form
    2,971,968/4,591,890 = 4,591,890/x
  3. Step 3: Cross multiply
    2,971,968x = 4,591,890 × 4,591,890
  4. Step 4: Simplify right side
    2,971,968x = 21,085,453,772,100
  5. Step 5: Solve for x
    x = 21,085,453,772,100/2,971,968
  6. Step 6: Final answer
    x = 7,094,778.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.