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Finding the Third Proportional to 486,804 and 1,065,228

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Solution

The third proportional to 486,804 and 1,065,228 is: 2,330,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,804 : 1,065,228 = 1,065,228 : x
  2. Step 2: Convert to fraction form
    486,804/1,065,228 = 1,065,228/x
  3. Step 3: Cross multiply
    486,804x = 1,065,228 × 1,065,228
  4. Step 4: Simplify right side
    486,804x = 1,134,710,691,984
  5. Step 5: Solve for x
    x = 1,134,710,691,984/486,804
  6. Step 6: Final answer
    x = 2,330,939.54

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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.