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Finding the Third Proportional to 857,495 and 1,828,903

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Solution

The third proportional to 857,495 and 1,828,903 is: 3,900,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,495 : 1,828,903 = 1,828,903 : x
  2. Step 2: Convert to fraction form
    857,495/1,828,903 = 1,828,903/x
  3. Step 3: Cross multiply
    857,495x = 1,828,903 × 1,828,903
  4. Step 4: Simplify right side
    857,495x = 3,344,886,183,409
  5. Step 5: Solve for x
    x = 3,344,886,183,409/857,495
  6. Step 6: Final answer
    x = 3,900,764.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.