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Finding the Third Proportional to 435,583 and 934,221

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Solution

The third proportional to 435,583 and 934,221 is: 2,003,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,583 : 934,221 = 934,221 : x
  2. Step 2: Convert to fraction form
    435,583/934,221 = 934,221/x
  3. Step 3: Cross multiply
    435,583x = 934,221 × 934,221
  4. Step 4: Simplify right side
    435,583x = 872,768,876,841
  5. Step 5: Solve for x
    x = 872,768,876,841/435,583
  6. Step 6: Final answer
    x = 2,003,679.84

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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.