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Finding the Third Proportional to 1,954,035 and 4,242,289

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Solution

The third proportional to 1,954,035 and 4,242,289 is: 9,210,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,035 : 4,242,289 = 4,242,289 : x
  2. Step 2: Convert to fraction form
    1,954,035/4,242,289 = 4,242,289/x
  3. Step 3: Cross multiply
    1,954,035x = 4,242,289 × 4,242,289
  4. Step 4: Simplify right side
    1,954,035x = 17,997,015,959,521
  5. Step 5: Solve for x
    x = 17,997,015,959,521/1,954,035
  6. Step 6: Final answer
    x = 9,210,180.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.