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Finding the Third Proportional to 455,430 and 973,917

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Solution

The third proportional to 455,430 and 973,917 is: 2,082,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,430 : 973,917 = 973,917 : x
  2. Step 2: Convert to fraction form
    455,430/973,917 = 973,917/x
  3. Step 3: Cross multiply
    455,430x = 973,917 × 973,917
  4. Step 4: Simplify right side
    455,430x = 948,514,322,889
  5. Step 5: Solve for x
    x = 948,514,322,889/455,430
  6. Step 6: Final answer
    x = 2,082,678.62

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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.