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Finding the Third Proportional to 434,102 and 930,502

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Solution

The third proportional to 434,102 and 930,502 is: 1,994,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,102 : 930,502 = 930,502 : x
  2. Step 2: Convert to fraction form
    434,102/930,502 = 930,502/x
  3. Step 3: Cross multiply
    434,102x = 930,502 × 930,502
  4. Step 4: Simplify right side
    434,102x = 865,833,972,004
  5. Step 5: Solve for x
    x = 865,833,972,004/434,102
  6. Step 6: Final answer
    x = 1,994,540.39

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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.