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Finding the Third Proportional to 2,189,478.50 and 3,486,583

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Solution

The third proportional to 2,189,478.50 and 3,486,583 is: 5,552,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,478.50 : 3,486,583 = 3,486,583 : x
  2. Step 2: Convert to fraction form
    2,189,478.50/3,486,583 = 3,486,583/x
  3. Step 3: Cross multiply
    2,189,478.50x = 3,486,583 × 3,486,583
  4. Step 4: Simplify right side
    2,189,478.50x = 12,156,261,015,889
  5. Step 5: Solve for x
    x = 12,156,261,015,889/2,189,478.50
  6. Step 6: Final answer
    x = 5,552,126.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.