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Finding the Third Proportional to 448,142 and 967,594

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Solution

The third proportional to 448,142 and 967,594 is: 2,089,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,142 : 967,594 = 967,594 : x
  2. Step 2: Convert to fraction form
    448,142/967,594 = 967,594/x
  3. Step 3: Cross multiply
    448,142x = 967,594 × 967,594
  4. Step 4: Simplify right side
    448,142x = 936,238,148,836
  5. Step 5: Solve for x
    x = 936,238,148,836/448,142
  6. Step 6: Final answer
    x = 2,089,155.11

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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.