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Finding the Third Proportional to 935,869 and 1,915,987

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Solution

The third proportional to 935,869 and 1,915,987 is: 3,922,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,869 : 1,915,987 = 1,915,987 : x
  2. Step 2: Convert to fraction form
    935,869/1,915,987 = 1,915,987/x
  3. Step 3: Cross multiply
    935,869x = 1,915,987 × 1,915,987
  4. Step 4: Simplify right side
    935,869x = 3,671,006,184,169
  5. Step 5: Solve for x
    x = 3,671,006,184,169/935,869
  6. Step 6: Final answer
    x = 3,922,564.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.