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Finding the Third Proportional to 450,144 and 983,934

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Solution

The third proportional to 450,144 and 983,934 is: 2,150,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,144 : 983,934 = 983,934 : x
  2. Step 2: Convert to fraction form
    450,144/983,934 = 983,934/x
  3. Step 3: Cross multiply
    450,144x = 983,934 × 983,934
  4. Step 4: Simplify right side
    450,144x = 968,126,116,356
  5. Step 5: Solve for x
    x = 968,126,116,356/450,144
  6. Step 6: Final answer
    x = 2,150,703.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.