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Finding the Third Proportional to 946,996 and 2,071,139

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Solution

The third proportional to 946,996 and 2,071,139 is: 4,529,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,996 : 2,071,139 = 2,071,139 : x
  2. Step 2: Convert to fraction form
    946,996/2,071,139 = 2,071,139/x
  3. Step 3: Cross multiply
    946,996x = 2,071,139 × 2,071,139
  4. Step 4: Simplify right side
    946,996x = 4,289,616,757,321
  5. Step 5: Solve for x
    x = 4,289,616,757,321/946,996
  6. Step 6: Final answer
    x = 4,529,709.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.