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Finding the Third Proportional to 3,219,454 and 6,822,724

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Solution

The third proportional to 3,219,454 and 6,822,724 is: 14,458,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,454 : 6,822,724 = 6,822,724 : x
  2. Step 2: Convert to fraction form
    3,219,454/6,822,724 = 6,822,724/x
  3. Step 3: Cross multiply
    3,219,454x = 6,822,724 × 6,822,724
  4. Step 4: Simplify right side
    3,219,454x = 46,549,562,780,176
  5. Step 5: Solve for x
    x = 46,549,562,780,176/3,219,454
  6. Step 6: Final answer
    x = 14,458,837.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.