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Finding the Third Proportional to 481,053 and 1,038,378

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Solution

The third proportional to 481,053 and 1,038,378 is: 2,241,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,053 : 1,038,378 = 1,038,378 : x
  2. Step 2: Convert to fraction form
    481,053/1,038,378 = 1,038,378/x
  3. Step 3: Cross multiply
    481,053x = 1,038,378 × 1,038,378
  4. Step 4: Simplify right side
    481,053x = 1,078,228,870,884
  5. Step 5: Solve for x
    x = 1,078,228,870,884/481,053
  6. Step 6: Final answer
    x = 2,241,393.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.