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Finding the Third Proportional to 444,040 and 972,586

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Solution

The third proportional to 444,040 and 972,586 is: 2,130,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,040 : 972,586 = 972,586 : x
  2. Step 2: Convert to fraction form
    444,040/972,586 = 972,586/x
  3. Step 3: Cross multiply
    444,040x = 972,586 × 972,586
  4. Step 4: Simplify right side
    444,040x = 945,923,527,396
  5. Step 5: Solve for x
    x = 945,923,527,396/444,040
  6. Step 6: Final answer
    x = 2,130,266.48

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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.