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Finding the Third Proportional to 1,312,596 and 2,024,895

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Solution

The third proportional to 1,312,596 and 2,024,895 is: 3,123,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,596 : 2,024,895 = 2,024,895 : x
  2. Step 2: Convert to fraction form
    1,312,596/2,024,895 = 2,024,895/x
  3. Step 3: Cross multiply
    1,312,596x = 2,024,895 × 2,024,895
  4. Step 4: Simplify right side
    1,312,596x = 4,100,199,761,025
  5. Step 5: Solve for x
    x = 4,100,199,761,025/1,312,596
  6. Step 6: Final answer
    x = 3,123,733.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.