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Finding the Third Proportional to 434,093 and 930,486

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Solution

The third proportional to 434,093 and 930,486 is: 1,994,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,093 : 930,486 = 930,486 : x
  2. Step 2: Convert to fraction form
    434,093/930,486 = 930,486/x
  3. Step 3: Cross multiply
    434,093x = 930,486 × 930,486
  4. Step 4: Simplify right side
    434,093x = 865,804,196,196
  5. Step 5: Solve for x
    x = 865,804,196,196/434,093
  6. Step 6: Final answer
    x = 1,994,513.15

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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.