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Finding the Third Proportional to 884,682 and 1,919,173.50

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Solution

The third proportional to 884,682 and 1,919,173.50 is: 4,163,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,682 : 1,919,173.50 = 1,919,173.50 : x
  2. Step 2: Convert to fraction form
    884,682/1,919,173.50 = 1,919,173.50/x
  3. Step 3: Cross multiply
    884,682x = 1,919,173.50 × 1,919,173.50
  4. Step 4: Simplify right side
    884,682x = 3,683,226,923,102.25
  5. Step 5: Solve for x
    x = 3,683,226,923,102.25/884,682
  6. Step 6: Final answer
    x = 4,163,334.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.