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Finding the Third Proportional to 594,735 and 889,506

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Solution

The third proportional to 594,735 and 889,506 is: 1,330,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,735 : 889,506 = 889,506 : x
  2. Step 2: Convert to fraction form
    594,735/889,506 = 889,506/x
  3. Step 3: Cross multiply
    594,735x = 889,506 × 889,506
  4. Step 4: Simplify right side
    594,735x = 791,220,924,036
  5. Step 5: Solve for x
    x = 791,220,924,036/594,735
  6. Step 6: Final answer
    x = 1,330,375.59

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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.