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Finding the Third Proportional to 946,971 and 2,034,486

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Solution

The third proportional to 946,971 and 2,034,486 is: 4,370,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,971 : 2,034,486 = 2,034,486 : x
  2. Step 2: Convert to fraction form
    946,971/2,034,486 = 2,034,486/x
  3. Step 3: Cross multiply
    946,971x = 2,034,486 × 2,034,486
  4. Step 4: Simplify right side
    946,971x = 4,139,133,284,196
  5. Step 5: Solve for x
    x = 4,139,133,284,196/946,971
  6. Step 6: Final answer
    x = 4,370,918.73

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Why These Related Problems?

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