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Finding the Third Proportional to 427,280 and 989,128

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Solution

The third proportional to 427,280 and 989,128 is: 2,289,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,280 : 989,128 = 989,128 : x
  2. Step 2: Convert to fraction form
    427,280/989,128 = 989,128/x
  3. Step 3: Cross multiply
    427,280x = 989,128 × 989,128
  4. Step 4: Simplify right side
    427,280x = 978,374,200,384
  5. Step 5: Solve for x
    x = 978,374,200,384/427,280
  6. Step 6: Final answer
    x = 2,289,772.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.