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Finding the Third Proportional to 490,787 and 1,051,558

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Solution

The third proportional to 490,787 and 1,051,558 is: 2,253,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,787 : 1,051,558 = 1,051,558 : x
  2. Step 2: Convert to fraction form
    490,787/1,051,558 = 1,051,558/x
  3. Step 3: Cross multiply
    490,787x = 1,051,558 × 1,051,558
  4. Step 4: Simplify right side
    490,787x = 1,105,774,227,364
  5. Step 5: Solve for x
    x = 1,105,774,227,364/490,787
  6. Step 6: Final answer
    x = 2,253,063.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.