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Finding the Third Proportional to 647,536 and 971,304

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Solution

The third proportional to 647,536 and 971,304 is: 1,456,956

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,536 : 971,304 = 971,304 : x
  2. Step 2: Convert to fraction form
    647,536/971,304 = 971,304/x
  3. Step 3: Cross multiply
    647,536x = 971,304 × 971,304
  4. Step 4: Simplify right side
    647,536x = 943,431,460,416
  5. Step 5: Solve for x
    x = 943,431,460,416/647,536
  6. Step 6: Final answer
    x = 1,456,956

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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.