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Finding the Third Proportional to 423,564 and 908,544

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Solution

The third proportional to 423,564 and 908,544 is: 1,948,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,564 : 908,544 = 908,544 : x
  2. Step 2: Convert to fraction form
    423,564/908,544 = 908,544/x
  3. Step 3: Cross multiply
    423,564x = 908,544 × 908,544
  4. Step 4: Simplify right side
    423,564x = 825,452,199,936
  5. Step 5: Solve for x
    x = 825,452,199,936/423,564
  6. Step 6: Final answer
    x = 1,948,825.21

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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.