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Finding the Third Proportional to 1,299,764 and 2,020,524

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Solution

The third proportional to 1,299,764 and 2,020,524 is: 3,140,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,764 : 2,020,524 = 2,020,524 : x
  2. Step 2: Convert to fraction form
    1,299,764/2,020,524 = 2,020,524/x
  3. Step 3: Cross multiply
    1,299,764x = 2,020,524 × 2,020,524
  4. Step 4: Simplify right side
    1,299,764x = 4,082,517,234,576
  5. Step 5: Solve for x
    x = 4,082,517,234,576/1,299,764
  6. Step 6: Final answer
    x = 3,140,968.08

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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.