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Finding the Third Proportional to 456,000 and 989,280

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Solution

The third proportional to 456,000 and 989,280 is: 2,146,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,000 : 989,280 = 989,280 : x
  2. Step 2: Convert to fraction form
    456,000/989,280 = 989,280/x
  3. Step 3: Cross multiply
    456,000x = 989,280 × 989,280
  4. Step 4: Simplify right side
    456,000x = 978,674,918,400
  5. Step 5: Solve for x
    x = 978,674,918,400/456,000
  6. Step 6: Final answer
    x = 2,146,216.93

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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.