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Finding the Third Proportional to 445,734 and 908,748

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Solution

The third proportional to 445,734 and 908,748 is: 1,852,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,734 : 908,748 = 908,748 : x
  2. Step 2: Convert to fraction form
    445,734/908,748 = 908,748/x
  3. Step 3: Cross multiply
    445,734x = 908,748 × 908,748
  4. Step 4: Simplify right side
    445,734x = 825,822,927,504
  5. Step 5: Solve for x
    x = 825,822,927,504/445,734
  6. Step 6: Final answer
    x = 1,852,725.90

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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.