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Finding the Third Proportional to 2,728,461.25 and 4,547,162

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Solution

The third proportional to 2,728,461.25 and 4,547,162 is: 7,578,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,461.25 : 4,547,162 = 4,547,162 : x
  2. Step 2: Convert to fraction form
    2,728,461.25/4,547,162 = 4,547,162/x
  3. Step 3: Cross multiply
    2,728,461.25x = 4,547,162 × 4,547,162
  4. Step 4: Simplify right side
    2,728,461.25x = 20,676,682,254,244
  5. Step 5: Solve for x
    x = 20,676,682,254,244/2,728,461.25
  6. Step 6: Final answer
    x = 7,578,147.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.