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Finding the Third Proportional to 447,824 and 973,536

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Solution

The third proportional to 447,824 and 973,536 is: 2,116,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,824 : 973,536 = 973,536 : x
  2. Step 2: Convert to fraction form
    447,824/973,536 = 973,536/x
  3. Step 3: Cross multiply
    447,824x = 973,536 × 973,536
  4. Step 4: Simplify right side
    447,824x = 947,772,343,296
  5. Step 5: Solve for x
    x = 947,772,343,296/447,824
  6. Step 6: Final answer
    x = 2,116,394.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.