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Finding the Third Proportional to 485,954 and 1,051,780

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Solution

The third proportional to 485,954 and 1,051,780 is: 2,276,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,954 : 1,051,780 = 1,051,780 : x
  2. Step 2: Convert to fraction form
    485,954/1,051,780 = 1,051,780/x
  3. Step 3: Cross multiply
    485,954x = 1,051,780 × 1,051,780
  4. Step 4: Simplify right side
    485,954x = 1,106,241,168,400
  5. Step 5: Solve for x
    x = 1,106,241,168,400/485,954
  6. Step 6: Final answer
    x = 2,276,431.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.