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Finding the Third Proportional to 2,001,210 and 2,996,343

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Solution

The third proportional to 2,001,210 and 2,996,343 is: 4,486,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,210 : 2,996,343 = 2,996,343 : x
  2. Step 2: Convert to fraction form
    2,001,210/2,996,343 = 2,996,343/x
  3. Step 3: Cross multiply
    2,001,210x = 2,996,343 × 2,996,343
  4. Step 4: Simplify right side
    2,001,210x = 8,978,071,373,649
  5. Step 5: Solve for x
    x = 8,978,071,373,649/2,001,210
  6. Step 6: Final answer
    x = 4,486,321.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.