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Finding the Third Proportional to 946,438 and 2,010,969

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Solution

The third proportional to 946,438 and 2,010,969 is: 4,272,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,438 : 2,010,969 = 2,010,969 : x
  2. Step 2: Convert to fraction form
    946,438/2,010,969 = 2,010,969/x
  3. Step 3: Cross multiply
    946,438x = 2,010,969 × 2,010,969
  4. Step 4: Simplify right side
    946,438x = 4,043,996,318,961
  5. Step 5: Solve for x
    x = 4,043,996,318,961/946,438
  6. Step 6: Final answer
    x = 4,272,859.20

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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.