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Finding the Third Proportional to 437,256 and 911,808

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Solution

The third proportional to 437,256 and 911,808 is: 1,901,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,256 : 911,808 = 911,808 : x
  2. Step 2: Convert to fraction form
    437,256/911,808 = 911,808/x
  3. Step 3: Cross multiply
    437,256x = 911,808 × 911,808
  4. Step 4: Simplify right side
    437,256x = 831,393,828,864
  5. Step 5: Solve for x
    x = 831,393,828,864/437,256
  6. Step 6: Final answer
    x = 1,901,389.18

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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.