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Finding the Third Proportional to 683,190 and 1,021,018

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Solution

The third proportional to 683,190 and 1,021,018 is: 1,525,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,190 : 1,021,018 = 1,021,018 : x
  2. Step 2: Convert to fraction form
    683,190/1,021,018 = 1,021,018/x
  3. Step 3: Cross multiply
    683,190x = 1,021,018 × 1,021,018
  4. Step 4: Simplify right side
    683,190x = 1,042,477,756,324
  5. Step 5: Solve for x
    x = 1,042,477,756,324/683,190
  6. Step 6: Final answer
    x = 1,525,897.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.