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Finding the Third Proportional to 3,478,266 and 4,573,902

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Solution

The third proportional to 3,478,266 and 4,573,902 is: 6,014,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,266 : 4,573,902 = 4,573,902 : x
  2. Step 2: Convert to fraction form
    3,478,266/4,573,902 = 4,573,902/x
  3. Step 3: Cross multiply
    3,478,266x = 4,573,902 × 4,573,902
  4. Step 4: Simplify right side
    3,478,266x = 20,920,579,505,604
  5. Step 5: Solve for x
    x = 20,920,579,505,604/3,478,266
  6. Step 6: Final answer
    x = 6,014,657.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.