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Finding the Third Proportional to 991,863 and 1,483,947

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Solution

The third proportional to 991,863 and 1,483,947 is: 2,220,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,863 : 1,483,947 = 1,483,947 : x
  2. Step 2: Convert to fraction form
    991,863/1,483,947 = 1,483,947/x
  3. Step 3: Cross multiply
    991,863x = 1,483,947 × 1,483,947
  4. Step 4: Simplify right side
    991,863x = 2,202,098,698,809
  5. Step 5: Solve for x
    x = 2,202,098,698,809/991,863
  6. Step 6: Final answer
    x = 2,220,164.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.