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Finding the Third Proportional to 423,573 and 908,562

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Solution

The third proportional to 423,573 and 908,562 is: 1,948,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,573 : 908,562 = 908,562 : x
  2. Step 2: Convert to fraction form
    423,573/908,562 = 908,562/x
  3. Step 3: Cross multiply
    423,573x = 908,562 × 908,562
  4. Step 4: Simplify right side
    423,573x = 825,484,907,844
  5. Step 5: Solve for x
    x = 825,484,907,844/423,573
  6. Step 6: Final answer
    x = 1,948,861.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.