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Finding the Third Proportional to 1,656,161 and 3,548,410

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Solution

The third proportional to 1,656,161 and 3,548,410 is: 7,602,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,161 : 3,548,410 = 3,548,410 : x
  2. Step 2: Convert to fraction form
    1,656,161/3,548,410 = 3,548,410/x
  3. Step 3: Cross multiply
    1,656,161x = 3,548,410 × 3,548,410
  4. Step 4: Simplify right side
    1,656,161x = 12,591,213,528,100
  5. Step 5: Solve for x
    x = 12,591,213,528,100/1,656,161
  6. Step 6: Final answer
    x = 7,602,650.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.