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Finding the Third Proportional to 850,293 and 1,866,453

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Solution

The third proportional to 850,293 and 1,866,453 is: 4,096,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,293 : 1,866,453 = 1,866,453 : x
  2. Step 2: Convert to fraction form
    850,293/1,866,453 = 1,866,453/x
  3. Step 3: Cross multiply
    850,293x = 1,866,453 × 1,866,453
  4. Step 4: Simplify right side
    850,293x = 3,483,646,801,209
  5. Step 5: Solve for x
    x = 3,483,646,801,209/850,293
  6. Step 6: Final answer
    x = 4,096,995.74

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