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Finding the Third Proportional to 965,713 and 2,078,690

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Solution

The third proportional to 965,713 and 2,078,690 is: 4,474,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,713 : 2,078,690 = 2,078,690 : x
  2. Step 2: Convert to fraction form
    965,713/2,078,690 = 2,078,690/x
  3. Step 3: Cross multiply
    965,713x = 2,078,690 × 2,078,690
  4. Step 4: Simplify right side
    965,713x = 4,320,952,116,100
  5. Step 5: Solve for x
    x = 4,320,952,116,100/965,713
  6. Step 6: Final answer
    x = 4,474,364.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.