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Finding the Third Proportional to 1,299,810 and 2,023,281

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Solution

The third proportional to 1,299,810 and 2,023,281 is: 3,149,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,810 : 2,023,281 = 2,023,281 : x
  2. Step 2: Convert to fraction form
    1,299,810/2,023,281 = 2,023,281/x
  3. Step 3: Cross multiply
    1,299,810x = 2,023,281 × 2,023,281
  4. Step 4: Simplify right side
    1,299,810x = 4,093,666,004,961
  5. Step 5: Solve for x
    x = 4,093,666,004,961/1,299,810
  6. Step 6: Final answer
    x = 3,149,434.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.