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Finding the Third Proportional to 946,971 and 2,012,215.50

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Solution

The third proportional to 946,971 and 2,012,215.50 is: 4,275,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,971 : 2,012,215.50 = 2,012,215.50 : x
  2. Step 2: Convert to fraction form
    946,971/2,012,215.50 = 2,012,215.50/x
  3. Step 3: Cross multiply
    946,971x = 2,012,215.50 × 2,012,215.50
  4. Step 4: Simplify right side
    946,971x = 4,049,011,218,440.25
  5. Step 5: Solve for x
    x = 4,049,011,218,440.25/946,971
  6. Step 6: Final answer
    x = 4,275,749.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.