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Finding the Third Proportional to 423,423 and 908,244

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Solution

The third proportional to 423,423 and 908,244 is: 1,948,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,423 : 908,244 = 908,244 : x
  2. Step 2: Convert to fraction form
    423,423/908,244 = 908,244/x
  3. Step 3: Cross multiply
    423,423x = 908,244 × 908,244
  4. Step 4: Simplify right side
    423,423x = 824,907,163,536
  5. Step 5: Solve for x
    x = 824,907,163,536/423,423
  6. Step 6: Final answer
    x = 1,948,186.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.