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Finding the Third Proportional to 515,454 and 1,045,404

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Solution

The third proportional to 515,454 and 1,045,404 is: 2,120,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,454 : 1,045,404 = 1,045,404 : x
  2. Step 2: Convert to fraction form
    515,454/1,045,404 = 1,045,404/x
  3. Step 3: Cross multiply
    515,454x = 1,045,404 × 1,045,404
  4. Step 4: Simplify right side
    515,454x = 1,092,869,523,216
  5. Step 5: Solve for x
    x = 1,092,869,523,216/515,454
  6. Step 6: Final answer
    x = 2,120,207.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.