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Finding the Third Proportional to 451,816 and 973,614

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Solution

The third proportional to 451,816 and 973,614 is: 2,098,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,816 : 973,614 = 973,614 : x
  2. Step 2: Convert to fraction form
    451,816/973,614 = 973,614/x
  3. Step 3: Cross multiply
    451,816x = 973,614 × 973,614
  4. Step 4: Simplify right side
    451,816x = 947,924,220,996
  5. Step 5: Solve for x
    x = 947,924,220,996/451,816
  6. Step 6: Final answer
    x = 2,098,031.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.