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Finding the Third Proportional to 777,228 and 1,683,480

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Solution

The third proportional to 777,228 and 1,683,480 is: 3,646,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,228 : 1,683,480 = 1,683,480 : x
  2. Step 2: Convert to fraction form
    777,228/1,683,480 = 1,683,480/x
  3. Step 3: Cross multiply
    777,228x = 1,683,480 × 1,683,480
  4. Step 4: Simplify right side
    777,228x = 2,834,104,910,400
  5. Step 5: Solve for x
    x = 2,834,104,910,400/777,228
  6. Step 6: Final answer
    x = 3,646,426.67

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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.