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Finding the Third Proportional to 850,295 and 1,866,457

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Solution

The third proportional to 850,295 and 1,866,457 is: 4,097,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,295 : 1,866,457 = 1,866,457 : x
  2. Step 2: Convert to fraction form
    850,295/1,866,457 = 1,866,457/x
  3. Step 3: Cross multiply
    850,295x = 1,866,457 × 1,866,457
  4. Step 4: Simplify right side
    850,295x = 3,483,661,732,849
  5. Step 5: Solve for x
    x = 3,483,661,732,849/850,295
  6. Step 6: Final answer
    x = 4,097,003.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.