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Finding the Third Proportional to 946,972 and 2,034,488

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Solution

The third proportional to 946,972 and 2,034,488 is: 4,370,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,972 : 2,034,488 = 2,034,488 : x
  2. Step 2: Convert to fraction form
    946,972/2,034,488 = 2,034,488/x
  3. Step 3: Cross multiply
    946,972x = 2,034,488 × 2,034,488
  4. Step 4: Simplify right side
    946,972x = 4,139,141,422,144
  5. Step 5: Solve for x
    x = 4,139,141,422,144/946,972
  6. Step 6: Final answer
    x = 4,370,922.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.