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Finding the Third Proportional to 640,830 and 966,168

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Solution

The third proportional to 640,830 and 966,168 is: 1,456,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,830 : 966,168 = 966,168 : x
  2. Step 2: Convert to fraction form
    640,830/966,168 = 966,168/x
  3. Step 3: Cross multiply
    640,830x = 966,168 × 966,168
  4. Step 4: Simplify right side
    640,830x = 933,480,604,224
  5. Step 5: Solve for x
    x = 933,480,604,224/640,830
  6. Step 6: Final answer
    x = 1,456,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.