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Finding the Third Proportional to 448,137 and 967,585

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Solution

The third proportional to 448,137 and 967,585 is: 2,089,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,137 : 967,585 = 967,585 : x
  2. Step 2: Convert to fraction form
    448,137/967,585 = 967,585/x
  3. Step 3: Cross multiply
    448,137x = 967,585 × 967,585
  4. Step 4: Simplify right side
    448,137x = 936,220,732,225
  5. Step 5: Solve for x
    x = 936,220,732,225/448,137
  6. Step 6: Final answer
    x = 2,089,139.55

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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.