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Finding the Third Proportional to 1,299,520 and 2,019,968

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Solution

The third proportional to 1,299,520 and 2,019,968 is: 3,139,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,520 : 2,019,968 = 2,019,968 : x
  2. Step 2: Convert to fraction form
    1,299,520/2,019,968 = 2,019,968/x
  3. Step 3: Cross multiply
    1,299,520x = 2,019,968 × 2,019,968
  4. Step 4: Simplify right side
    1,299,520x = 4,080,270,721,024
  5. Step 5: Solve for x
    x = 4,080,270,721,024/1,299,520
  6. Step 6: Final answer
    x = 3,139,829.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.