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Finding the Third Proportional to 770,749 and 1,624,590

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Solution

The third proportional to 770,749 and 1,624,590 is: 3,424,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,749 : 1,624,590 = 1,624,590 : x
  2. Step 2: Convert to fraction form
    770,749/1,624,590 = 1,624,590/x
  3. Step 3: Cross multiply
    770,749x = 1,624,590 × 1,624,590
  4. Step 4: Simplify right side
    770,749x = 2,639,292,668,100
  5. Step 5: Solve for x
    x = 2,639,292,668,100/770,749
  6. Step 6: Final answer
    x = 3,424,321.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.