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Finding the Third Proportional to 1,407,918 and 2,111,922

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Solution

The third proportional to 1,407,918 and 2,111,922 is: 3,167,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,918 : 2,111,922 = 2,111,922 : x
  2. Step 2: Convert to fraction form
    1,407,918/2,111,922 = 2,111,922/x
  3. Step 3: Cross multiply
    1,407,918x = 2,111,922 × 2,111,922
  4. Step 4: Simplify right side
    1,407,918x = 4,460,214,534,084
  5. Step 5: Solve for x
    x = 4,460,214,534,084/1,407,918
  6. Step 6: Final answer
    x = 3,167,950.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.