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Finding the Third Proportional to 445,924 and 976,430

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Solution

The third proportional to 445,924 and 976,430 is: 2,138,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,924 : 976,430 = 976,430 : x
  2. Step 2: Convert to fraction form
    445,924/976,430 = 976,430/x
  3. Step 3: Cross multiply
    445,924x = 976,430 × 976,430
  4. Step 4: Simplify right side
    445,924x = 953,415,544,900
  5. Step 5: Solve for x
    x = 953,415,544,900/445,924
  6. Step 6: Final answer
    x = 2,138,067.35

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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.