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Finding the Third Proportional to 438,048 and 950,454

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Solution

The third proportional to 438,048 and 950,454 is: 2,062,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,048 : 950,454 = 950,454 : x
  2. Step 2: Convert to fraction form
    438,048/950,454 = 950,454/x
  3. Step 3: Cross multiply
    438,048x = 950,454 × 950,454
  4. Step 4: Simplify right side
    438,048x = 903,362,806,116
  5. Step 5: Solve for x
    x = 903,362,806,116/438,048
  6. Step 6: Final answer
    x = 2,062,246.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.