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Finding the Third Proportional to 434,100 and 930,498

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Solution

The third proportional to 434,100 and 930,498 is: 1,994,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,100 : 930,498 = 930,498 : x
  2. Step 2: Convert to fraction form
    434,100/930,498 = 930,498/x
  3. Step 3: Cross multiply
    434,100x = 930,498 × 930,498
  4. Step 4: Simplify right side
    434,100x = 865,826,528,004
  5. Step 5: Solve for x
    x = 865,826,528,004/434,100
  6. Step 6: Final answer
    x = 1,994,532.43

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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.