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Finding the Third Proportional to 594,729 and 889,497

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Solution

The third proportional to 594,729 and 889,497 is: 1,330,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,729 : 889,497 = 889,497 : x
  2. Step 2: Convert to fraction form
    594,729/889,497 = 889,497/x
  3. Step 3: Cross multiply
    594,729x = 889,497 × 889,497
  4. Step 4: Simplify right side
    594,729x = 791,204,913,009
  5. Step 5: Solve for x
    x = 791,204,913,009/594,729
  6. Step 6: Final answer
    x = 1,330,362.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.