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Finding the Third Proportional to 460,462 and 939,649

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Solution

The third proportional to 460,462 and 939,649 is: 1,917,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,462 : 939,649 = 939,649 : x
  2. Step 2: Convert to fraction form
    460,462/939,649 = 939,649/x
  3. Step 3: Cross multiply
    460,462x = 939,649 × 939,649
  4. Step 4: Simplify right side
    460,462x = 882,940,243,201
  5. Step 5: Solve for x
    x = 882,940,243,201/460,462
  6. Step 6: Final answer
    x = 1,917,509.46

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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.