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Finding the Third Proportional to 448,775.44 and 972,317.67

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Solution

The third proportional to 448,775.44 and 972,317.67 is: 2,106,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,775.44 : 972,317.67 = 972,317.67 : x
  2. Step 2: Convert to fraction form
    448,775.44/972,317.67 = 972,317.67/x
  3. Step 3: Cross multiply
    448,775.44x = 972,317.67 × 972,317.67
  4. Step 4: Simplify right side
    448,775.44x = 945,401,655,040.42
  5. Step 5: Solve for x
    x = 945,401,655,040.42/448,775.44
  6. Step 6: Final answer
    x = 2,106,625.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.