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Finding the Third Proportional to 501,320 and 1,043,947

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Solution

The third proportional to 501,320 and 1,043,947 is: 2,173,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,320 : 1,043,947 = 1,043,947 : x
  2. Step 2: Convert to fraction form
    501,320/1,043,947 = 1,043,947/x
  3. Step 3: Cross multiply
    501,320x = 1,043,947 × 1,043,947
  4. Step 4: Simplify right side
    501,320x = 1,089,825,338,809
  5. Step 5: Solve for x
    x = 1,089,825,338,809/501,320
  6. Step 6: Final answer
    x = 2,173,911.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.