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Finding the Third Proportional to 841,536 and 1,183,680

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Solution

The third proportional to 841,536 and 1,183,680 is: 1,664,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,536 : 1,183,680 = 1,183,680 : x
  2. Step 2: Convert to fraction form
    841,536/1,183,680 = 1,183,680/x
  3. Step 3: Cross multiply
    841,536x = 1,183,680 × 1,183,680
  4. Step 4: Simplify right side
    841,536x = 1,401,098,342,400
  5. Step 5: Solve for x
    x = 1,401,098,342,400/841,536
  6. Step 6: Final answer
    x = 1,664,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.