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Finding the Third Proportional to 448,140 and 967,590

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Solution

The third proportional to 448,140 and 967,590 is: 2,089,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,140 : 967,590 = 967,590 : x
  2. Step 2: Convert to fraction form
    448,140/967,590 = 967,590/x
  3. Step 3: Cross multiply
    448,140x = 967,590 × 967,590
  4. Step 4: Simplify right side
    448,140x = 936,230,408,100
  5. Step 5: Solve for x
    x = 936,230,408,100/448,140
  6. Step 6: Final answer
    x = 2,089,147.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.