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Finding the Third Proportional to 683,184 and 1,021,014

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Solution

The third proportional to 683,184 and 1,021,014 is: 1,525,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,184 : 1,021,014 = 1,021,014 : x
  2. Step 2: Convert to fraction form
    683,184/1,021,014 = 1,021,014/x
  3. Step 3: Cross multiply
    683,184x = 1,021,014 × 1,021,014
  4. Step 4: Simplify right side
    683,184x = 1,042,469,588,196
  5. Step 5: Solve for x
    x = 1,042,469,588,196/683,184
  6. Step 6: Final answer
    x = 1,525,898.72

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