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Finding the Third Proportional to 2,799,729 and 5,996,010

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Solution

The third proportional to 2,799,729 and 5,996,010 is: 12,841,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799,729 : 5,996,010 = 5,996,010 : x
  2. Step 2: Convert to fraction form
    2,799,729/5,996,010 = 5,996,010/x
  3. Step 3: Cross multiply
    2,799,729x = 5,996,010 × 5,996,010
  4. Step 4: Simplify right side
    2,799,729x = 35,952,135,920,100
  5. Step 5: Solve for x
    x = 35,952,135,920,100/2,799,729
  6. Step 6: Final answer
    x = 12,841,291.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.