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Finding the Third Proportional to 1,946,438 and 4,259,442

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Solution

The third proportional to 1,946,438 and 4,259,442 is: 9,321,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,438 : 4,259,442 = 4,259,442 : x
  2. Step 2: Convert to fraction form
    1,946,438/4,259,442 = 4,259,442/x
  3. Step 3: Cross multiply
    1,946,438x = 4,259,442 × 4,259,442
  4. Step 4: Simplify right side
    1,946,438x = 18,142,846,151,364
  5. Step 5: Solve for x
    x = 18,142,846,151,364/1,946,438
  6. Step 6: Final answer
    x = 9,321,050.12

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