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Finding the Third Proportional to 868,947 and 1,817,344

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Solution

The third proportional to 868,947 and 1,817,344 is: 3,800,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,947 : 1,817,344 = 1,817,344 : x
  2. Step 2: Convert to fraction form
    868,947/1,817,344 = 1,817,344/x
  3. Step 3: Cross multiply
    868,947x = 1,817,344 × 1,817,344
  4. Step 4: Simplify right side
    868,947x = 3,302,739,214,336
  5. Step 5: Solve for x
    x = 3,302,739,214,336/868,947
  6. Step 6: Final answer
    x = 3,800,852.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.