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Finding the Third Proportional to 1,150,848 and 1,742,266

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Solution

The third proportional to 1,150,848 and 1,742,266 is: 2,637,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,848 : 1,742,266 = 1,742,266 : x
  2. Step 2: Convert to fraction form
    1,150,848/1,742,266 = 1,742,266/x
  3. Step 3: Cross multiply
    1,150,848x = 1,742,266 × 1,742,266
  4. Step 4: Simplify right side
    1,150,848x = 3,035,490,814,756
  5. Step 5: Solve for x
    x = 3,035,490,814,756/1,150,848
  6. Step 6: Final answer
    x = 2,637,612.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.