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Finding the Third Proportional to 436,841 and 934,403

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Solution

The third proportional to 436,841 and 934,403 is: 1,998,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,841 : 934,403 = 934,403 : x
  2. Step 2: Convert to fraction form
    436,841/934,403 = 934,403/x
  3. Step 3: Cross multiply
    436,841x = 934,403 × 934,403
  4. Step 4: Simplify right side
    436,841x = 873,108,966,409
  5. Step 5: Solve for x
    x = 873,108,966,409/436,841
  6. Step 6: Final answer
    x = 1,998,688.23

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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.