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Finding the Third Proportional to 434,107.69 and 930,511.13

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Solution

The third proportional to 434,107.69 and 930,511.13 is: 1,994,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,107.69 : 930,511.13 = 930,511.13 : x
  2. Step 2: Convert to fraction form
    434,107.69/930,511.13 = 930,511.13/x
  3. Step 3: Cross multiply
    434,107.69x = 930,511.13 × 930,511.13
  4. Step 4: Simplify right side
    434,107.69x = 865,850,953,748.77
  5. Step 5: Solve for x
    x = 865,850,953,748.77/434,107.69
  6. Step 6: Final answer
    x = 1,994,553.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.