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Finding the Third Proportional to 1,371,014 and 2,970,842

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Solution

The third proportional to 1,371,014 and 2,970,842 is: 6,437,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,014 : 2,970,842 = 2,970,842 : x
  2. Step 2: Convert to fraction form
    1,371,014/2,970,842 = 2,970,842/x
  3. Step 3: Cross multiply
    1,371,014x = 2,970,842 × 2,970,842
  4. Step 4: Simplify right side
    1,371,014x = 8,825,902,188,964
  5. Step 5: Solve for x
    x = 8,825,902,188,964/1,371,014
  6. Step 6: Final answer
    x = 6,437,499.68

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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.