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Finding the Third Proportional to 601,664 and 902,628

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Solution

The third proportional to 601,664 and 902,628 is: 1,354,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,664 : 902,628 = 902,628 : x
  2. Step 2: Convert to fraction form
    601,664/902,628 = 902,628/x
  3. Step 3: Cross multiply
    601,664x = 902,628 × 902,628
  4. Step 4: Simplify right side
    601,664x = 814,737,306,384
  5. Step 5: Solve for x
    x = 814,737,306,384/601,664
  6. Step 6: Final answer
    x = 1,354,140.03

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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.