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Finding the Third Proportional to 651,132 and 976,014

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Solution

The third proportional to 651,132 and 976,014 is: 1,462,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,132 : 976,014 = 976,014 : x
  2. Step 2: Convert to fraction form
    651,132/976,014 = 976,014/x
  3. Step 3: Cross multiply
    651,132x = 976,014 × 976,014
  4. Step 4: Simplify right side
    651,132x = 952,603,328,196
  5. Step 5: Solve for x
    x = 952,603,328,196/651,132
  6. Step 6: Final answer
    x = 1,462,995.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.