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Finding the Third Proportional to 1,268,710 and 1,855,431

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Solution

The third proportional to 1,268,710 and 1,855,431 is: 2,713,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,710 : 1,855,431 = 1,855,431 : x
  2. Step 2: Convert to fraction form
    1,268,710/1,855,431 = 1,855,431/x
  3. Step 3: Cross multiply
    1,268,710x = 1,855,431 × 1,855,431
  4. Step 4: Simplify right side
    1,268,710x = 3,442,624,195,761
  5. Step 5: Solve for x
    x = 3,442,624,195,761/1,268,710
  6. Step 6: Final answer
    x = 2,713,483.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.