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Finding the Third Proportional to 444,284 and 975,028

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Solution

The third proportional to 444,284 and 975,028 is: 2,139,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,284 : 975,028 = 975,028 : x
  2. Step 2: Convert to fraction form
    444,284/975,028 = 975,028/x
  3. Step 3: Cross multiply
    444,284x = 975,028 × 975,028
  4. Step 4: Simplify right side
    444,284x = 950,679,600,784
  5. Step 5: Solve for x
    x = 950,679,600,784/444,284
  6. Step 6: Final answer
    x = 2,139,801.57

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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.