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Finding the Third Proportional to 941,594 and 1,414,497

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Solution

The third proportional to 941,594 and 1,414,497 is: 2,124,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,594 : 1,414,497 = 1,414,497 : x
  2. Step 2: Convert to fraction form
    941,594/1,414,497 = 1,414,497/x
  3. Step 3: Cross multiply
    941,594x = 1,414,497 × 1,414,497
  4. Step 4: Simplify right side
    941,594x = 2,000,801,763,009
  5. Step 5: Solve for x
    x = 2,000,801,763,009/941,594
  6. Step 6: Final answer
    x = 2,124,909.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.