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Finding the Third Proportional to 701,664 and 1,515,501

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Solution

The third proportional to 701,664 and 1,515,501 is: 3,273,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,664 : 1,515,501 = 1,515,501 : x
  2. Step 2: Convert to fraction form
    701,664/1,515,501 = 1,515,501/x
  3. Step 3: Cross multiply
    701,664x = 1,515,501 × 1,515,501
  4. Step 4: Simplify right side
    701,664x = 2,296,743,281,001
  5. Step 5: Solve for x
    x = 2,296,743,281,001/701,664
  6. Step 6: Final answer
    x = 3,273,280.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.