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Finding the Third Proportional to 771,206.70 and 1,671,121.76

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Solution

The third proportional to 771,206.70 and 1,671,121.76 is: 3,621,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,206.70 : 1,671,121.76 = 1,671,121.76 : x
  2. Step 2: Convert to fraction form
    771,206.70/1,671,121.76 = 1,671,121.76/x
  3. Step 3: Cross multiply
    771,206.70x = 1,671,121.76 × 1,671,121.76
  4. Step 4: Simplify right side
    771,206.70x = 2,792,647,929,434.34
  5. Step 5: Solve for x
    x = 2,792,647,929,434.34/771,206.70
  6. Step 6: Final answer
    x = 3,621,140.67

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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.