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Finding the Third Proportional to 984,853.69 and 1,477,283.06

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Solution

The third proportional to 984,853.69 and 1,477,283.06 is: 2,215,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,853.69 : 1,477,283.06 = 1,477,283.06 : x
  2. Step 2: Convert to fraction form
    984,853.69/1,477,283.06 = 1,477,283.06/x
  3. Step 3: Cross multiply
    984,853.69x = 1,477,283.06 × 1,477,283.06
  4. Step 4: Simplify right side
    984,853.69x = 2,182,365,246,749.38
  5. Step 5: Solve for x
    x = 2,182,365,246,749.38/984,853.69
  6. Step 6: Final answer
    x = 2,215,928.39

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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.