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Finding the Third Proportional to 444,150 and 972,641

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Solution

The third proportional to 444,150 and 972,641 is: 2,129,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,150 : 972,641 = 972,641 : x
  2. Step 2: Convert to fraction form
    444,150/972,641 = 972,641/x
  3. Step 3: Cross multiply
    444,150x = 972,641 × 972,641
  4. Step 4: Simplify right side
    444,150x = 946,030,514,881
  5. Step 5: Solve for x
    x = 946,030,514,881/444,150
  6. Step 6: Final answer
    x = 2,129,979.77

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Why These Related Problems?

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