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Finding the Third Proportional to 434,916.84 and 934,202.11

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Solution

The third proportional to 434,916.84 and 934,202.11 is: 2,006,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,916.84 : 934,202.11 = 934,202.11 : x
  2. Step 2: Convert to fraction form
    434,916.84/934,202.11 = 934,202.11/x
  3. Step 3: Cross multiply
    434,916.84x = 934,202.11 × 934,202.11
  4. Step 4: Simplify right side
    434,916.84x = 872,733,581,160.70
  5. Step 5: Solve for x
    x = 872,733,581,160.70/434,916.84
  6. Step 6: Final answer
    x = 2,006,667.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.