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Finding the Third Proportional to 460,464.75 and 939,654

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Solution

The third proportional to 460,464.75 and 939,654 is: 1,917,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,464.75 : 939,654 = 939,654 : x
  2. Step 2: Convert to fraction form
    460,464.75/939,654 = 939,654/x
  3. Step 3: Cross multiply
    460,464.75x = 939,654 × 939,654
  4. Step 4: Simplify right side
    460,464.75x = 882,949,639,716
  5. Step 5: Solve for x
    x = 882,949,639,716/460,464.75
  6. Step 6: Final answer
    x = 1,917,518.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.