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Finding the Third Proportional to 436,347 and 934,902

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Solution

The third proportional to 436,347 and 934,902 is: 2,003,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,347 : 934,902 = 934,902 : x
  2. Step 2: Convert to fraction form
    436,347/934,902 = 934,902/x
  3. Step 3: Cross multiply
    436,347x = 934,902 × 934,902
  4. Step 4: Simplify right side
    436,347x = 874,041,749,604
  5. Step 5: Solve for x
    x = 874,041,749,604/436,347
  6. Step 6: Final answer
    x = 2,003,088.71

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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.