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Finding the Third Proportional to 450,996 and 972,504

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Solution

The third proportional to 450,996 and 972,504 is: 2,097,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,996 : 972,504 = 972,504 : x
  2. Step 2: Convert to fraction form
    450,996/972,504 = 972,504/x
  3. Step 3: Cross multiply
    450,996x = 972,504 × 972,504
  4. Step 4: Simplify right side
    450,996x = 945,764,030,016
  5. Step 5: Solve for x
    x = 945,764,030,016/450,996
  6. Step 6: Final answer
    x = 2,097,056.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.