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Finding the Third Proportional to 900,935 and 1,213,500

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Solution

The third proportional to 900,935 and 1,213,500 is: 1,634,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,935 : 1,213,500 = 1,213,500 : x
  2. Step 2: Convert to fraction form
    900,935/1,213,500 = 1,213,500/x
  3. Step 3: Cross multiply
    900,935x = 1,213,500 × 1,213,500
  4. Step 4: Simplify right side
    900,935x = 1,472,582,250,000
  5. Step 5: Solve for x
    x = 1,472,582,250,000/900,935
  6. Step 6: Final answer
    x = 1,634,504.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.