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Finding the Third Proportional to 683,024 and 1,026,741

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Solution

The third proportional to 683,024 and 1,026,741 is: 1,543,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,024 : 1,026,741 = 1,026,741 : x
  2. Step 2: Convert to fraction form
    683,024/1,026,741 = 1,026,741/x
  3. Step 3: Cross multiply
    683,024x = 1,026,741 × 1,026,741
  4. Step 4: Simplify right side
    683,024x = 1,054,197,081,081
  5. Step 5: Solve for x
    x = 1,054,197,081,081/683,024
  6. Step 6: Final answer
    x = 1,543,426.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.