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Finding the Third Proportional to 434,108 and 930,514

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Solution

The third proportional to 434,108 and 930,514 is: 1,994,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,108 : 930,514 = 930,514 : x
  2. Step 2: Convert to fraction form
    434,108/930,514 = 930,514/x
  3. Step 3: Cross multiply
    434,108x = 930,514 × 930,514
  4. Step 4: Simplify right side
    434,108x = 865,856,304,196
  5. Step 5: Solve for x
    x = 865,856,304,196/434,108
  6. Step 6: Final answer
    x = 1,994,564.27

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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.