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Finding the Third Proportional to 1,048,538 and 2,246,476

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Solution

The third proportional to 1,048,538 and 2,246,476 is: 4,813,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,538 : 2,246,476 = 2,246,476 : x
  2. Step 2: Convert to fraction form
    1,048,538/2,246,476 = 2,246,476/x
  3. Step 3: Cross multiply
    1,048,538x = 2,246,476 × 2,246,476
  4. Step 4: Simplify right side
    1,048,538x = 5,046,654,418,576
  5. Step 5: Solve for x
    x = 5,046,654,418,576/1,048,538
  6. Step 6: Final answer
    x = 4,813,039.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.