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Finding the Third Proportional to 1,824,948 and 3,970,975.50

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Solution

The third proportional to 1,824,948 and 3,970,975.50 is: 8,640,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,948 : 3,970,975.50 = 3,970,975.50 : x
  2. Step 2: Convert to fraction form
    1,824,948/3,970,975.50 = 3,970,975.50/x
  3. Step 3: Cross multiply
    1,824,948x = 3,970,975.50 × 3,970,975.50
  4. Step 4: Simplify right side
    1,824,948x = 15,768,646,421,600.25
  5. Step 5: Solve for x
    x = 15,768,646,421,600.25/1,824,948
  6. Step 6: Final answer
    x = 8,640,600.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.