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Finding the Third Proportional to 446,724 and 943,128

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Solution

The third proportional to 446,724 and 943,128 is: 1,991,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,724 : 943,128 = 943,128 : x
  2. Step 2: Convert to fraction form
    446,724/943,128 = 943,128/x
  3. Step 3: Cross multiply
    446,724x = 943,128 × 943,128
  4. Step 4: Simplify right side
    446,724x = 889,490,424,384
  5. Step 5: Solve for x
    x = 889,490,424,384/446,724
  6. Step 6: Final answer
    x = 1,991,140.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.