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Finding the Third Proportional to 647,546 and 971,320

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Solution

The third proportional to 647,546 and 971,320 is: 1,456,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,546 : 971,320 = 971,320 : x
  2. Step 2: Convert to fraction form
    647,546/971,320 = 971,320/x
  3. Step 3: Cross multiply
    647,546x = 971,320 × 971,320
  4. Step 4: Simplify right side
    647,546x = 943,462,542,400
  5. Step 5: Solve for x
    x = 943,462,542,400/647,546
  6. Step 6: Final answer
    x = 1,456,981.50

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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.