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Finding the Third Proportional to 677,697 and 993,906

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Solution

The third proportional to 677,697 and 993,906 is: 1,457,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,697 : 993,906 = 993,906 : x
  2. Step 2: Convert to fraction form
    677,697/993,906 = 993,906/x
  3. Step 3: Cross multiply
    677,697x = 993,906 × 993,906
  4. Step 4: Simplify right side
    677,697x = 987,849,136,836
  5. Step 5: Solve for x
    x = 987,849,136,836/677,697
  6. Step 6: Final answer
    x = 1,457,656.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.