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Finding the Third Proportional to 408,947 and 893,710

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Solution

The third proportional to 408,947 and 893,710 is: 1,953,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,947 : 893,710 = 893,710 : x
  2. Step 2: Convert to fraction form
    408,947/893,710 = 893,710/x
  3. Step 3: Cross multiply
    408,947x = 893,710 × 893,710
  4. Step 4: Simplify right side
    408,947x = 798,717,564,100
  5. Step 5: Solve for x
    x = 798,717,564,100/408,947
  6. Step 6: Final answer
    x = 1,953,107.77

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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.