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Finding the Third Proportional to 426,000 and 908,960

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Solution

The third proportional to 426,000 and 908,960 is: 1,939,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,000 : 908,960 = 908,960 : x
  2. Step 2: Convert to fraction form
    426,000/908,960 = 908,960/x
  3. Step 3: Cross multiply
    426,000x = 908,960 × 908,960
  4. Step 4: Simplify right side
    426,000x = 826,208,281,600
  5. Step 5: Solve for x
    x = 826,208,281,600/426,000
  6. Step 6: Final answer
    x = 1,939,456.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.