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Finding the Third Proportional to 1,187,431 and 2,315,447

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Solution

The third proportional to 1,187,431 and 2,315,447 is: 4,515,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,431 : 2,315,447 = 2,315,447 : x
  2. Step 2: Convert to fraction form
    1,187,431/2,315,447 = 2,315,447/x
  3. Step 3: Cross multiply
    1,187,431x = 2,315,447 × 2,315,447
  4. Step 4: Simplify right side
    1,187,431x = 5,361,294,809,809
  5. Step 5: Solve for x
    x = 5,361,294,809,809/1,187,431
  6. Step 6: Final answer
    x = 4,515,036.92

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.