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Finding the Third Proportional to 1,367,971 and 2,969,586

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Solution

The third proportional to 1,367,971 and 2,969,586 is: 6,446,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,971 : 2,969,586 = 2,969,586 : x
  2. Step 2: Convert to fraction form
    1,367,971/2,969,586 = 2,969,586/x
  3. Step 3: Cross multiply
    1,367,971x = 2,969,586 × 2,969,586
  4. Step 4: Simplify right side
    1,367,971x = 8,818,441,011,396
  5. Step 5: Solve for x
    x = 8,818,441,011,396/1,367,971
  6. Step 6: Final answer
    x = 6,446,365.46

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