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Finding the Third Proportional to 434,104 and 930,508

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Solution

The third proportional to 434,104 and 930,508 is: 1,994,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,104 : 930,508 = 930,508 : x
  2. Step 2: Convert to fraction form
    434,104/930,508 = 930,508/x
  3. Step 3: Cross multiply
    434,104x = 930,508 × 930,508
  4. Step 4: Simplify right side
    434,104x = 865,845,138,064
  5. Step 5: Solve for x
    x = 865,845,138,064/434,104
  6. Step 6: Final answer
    x = 1,994,556.92

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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.