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Finding the Third Proportional to 631,668 and 971,901

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Solution

The third proportional to 631,668 and 971,901 is: 1,495,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,668 : 971,901 = 971,901 : x
  2. Step 2: Convert to fraction form
    631,668/971,901 = 971,901/x
  3. Step 3: Cross multiply
    631,668x = 971,901 × 971,901
  4. Step 4: Simplify right side
    631,668x = 944,591,553,801
  5. Step 5: Solve for x
    x = 944,591,553,801/631,668
  6. Step 6: Final answer
    x = 1,495,392.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.