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Finding the Third Proportional to 653,023 and 989,390

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Solution

The third proportional to 653,023 and 989,390 is: 1,499,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,023 : 989,390 = 989,390 : x
  2. Step 2: Convert to fraction form
    653,023/989,390 = 989,390/x
  3. Step 3: Cross multiply
    653,023x = 989,390 × 989,390
  4. Step 4: Simplify right side
    653,023x = 978,892,572,100
  5. Step 5: Solve for x
    x = 978,892,572,100/653,023
  6. Step 6: Final answer
    x = 1,499,016.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.