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Finding the Third Proportional to 457,950 and 976,749

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Solution

The third proportional to 457,950 and 976,749 is: 2,083,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,950 : 976,749 = 976,749 : x
  2. Step 2: Convert to fraction form
    457,950/976,749 = 976,749/x
  3. Step 3: Cross multiply
    457,950x = 976,749 × 976,749
  4. Step 4: Simplify right side
    457,950x = 954,038,609,001
  5. Step 5: Solve for x
    x = 954,038,609,001/457,950
  6. Step 6: Final answer
    x = 2,083,281.16

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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.