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Finding the Third Proportional to 463,607 and 993,751

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Solution

The third proportional to 463,607 and 993,751 is: 2,130,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,607 : 993,751 = 993,751 : x
  2. Step 2: Convert to fraction form
    463,607/993,751 = 993,751/x
  3. Step 3: Cross multiply
    463,607x = 993,751 × 993,751
  4. Step 4: Simplify right side
    463,607x = 987,541,050,001
  5. Step 5: Solve for x
    x = 987,541,050,001/463,607
  6. Step 6: Final answer
    x = 2,130,125.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.