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Finding the Third Proportional to 411,621 and 901,947

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Solution

The third proportional to 411,621 and 901,947 is: 1,976,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,621 : 901,947 = 901,947 : x
  2. Step 2: Convert to fraction form
    411,621/901,947 = 901,947/x
  3. Step 3: Cross multiply
    411,621x = 901,947 × 901,947
  4. Step 4: Simplify right side
    411,621x = 813,508,390,809
  5. Step 5: Solve for x
    x = 813,508,390,809/411,621
  6. Step 6: Final answer
    x = 1,976,352.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.