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Finding the Third Proportional to 656,019 and 1,071,219.94

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Solution

The third proportional to 656,019 and 1,071,219.94 is: 1,749,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,019 : 1,071,219.94 = 1,071,219.94 : x
  2. Step 2: Convert to fraction form
    656,019/1,071,219.94 = 1,071,219.94/x
  3. Step 3: Cross multiply
    656,019x = 1,071,219.94 × 1,071,219.94
  4. Step 4: Simplify right side
    656,019x = 1,147,512,154,497.50
  5. Step 5: Solve for x
    x = 1,147,512,154,497.50/656,019
  6. Step 6: Final answer
    x = 1,749,205.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.