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Finding the Third Proportional to 899,409 and 1,834,947

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Solution

The third proportional to 899,409 and 1,834,947 is: 3,743,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,409 : 1,834,947 = 1,834,947 : x
  2. Step 2: Convert to fraction form
    899,409/1,834,947 = 1,834,947/x
  3. Step 3: Cross multiply
    899,409x = 1,834,947 × 1,834,947
  4. Step 4: Simplify right side
    899,409x = 3,367,030,492,809
  5. Step 5: Solve for x
    x = 3,367,030,492,809/899,409
  6. Step 6: Final answer
    x = 3,743,603.29

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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.