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Finding the Third Proportional to 582,746 and 899,999

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Solution

The third proportional to 582,746 and 899,999 is: 1,389,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,746 : 899,999 = 899,999 : x
  2. Step 2: Convert to fraction form
    582,746/899,999 = 899,999/x
  3. Step 3: Cross multiply
    582,746x = 899,999 × 899,999
  4. Step 4: Simplify right side
    582,746x = 809,998,200,001
  5. Step 5: Solve for x
    x = 809,998,200,001/582,746
  6. Step 6: Final answer
    x = 1,389,967.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.