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Finding the Third Proportional to 912,999 and 1,419,334.50

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Solution

The third proportional to 912,999 and 1,419,334.50 is: 2,206,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,999 : 1,419,334.50 = 1,419,334.50 : x
  2. Step 2: Convert to fraction form
    912,999/1,419,334.50 = 1,419,334.50/x
  3. Step 3: Cross multiply
    912,999x = 1,419,334.50 × 1,419,334.50
  4. Step 4: Simplify right side
    912,999x = 2,014,510,422,890.25
  5. Step 5: Solve for x
    x = 2,014,510,422,890.25/912,999
  6. Step 6: Final answer
    x = 2,206,476.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.