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Finding the Third Proportional to 494,237 and 1,084,702

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Solution

The third proportional to 494,237 and 1,084,702 is: 2,380,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,237 : 1,084,702 = 1,084,702 : x
  2. Step 2: Convert to fraction form
    494,237/1,084,702 = 1,084,702/x
  3. Step 3: Cross multiply
    494,237x = 1,084,702 × 1,084,702
  4. Step 4: Simplify right side
    494,237x = 1,176,578,428,804
  5. Step 5: Solve for x
    x = 1,176,578,428,804/494,237
  6. Step 6: Final answer
    x = 2,380,595.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.