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Finding the Third Proportional to 591,420 and 914,919

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Solution

The third proportional to 591,420 and 914,919 is: 1,415,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,420 : 914,919 = 914,919 : x
  2. Step 2: Convert to fraction form
    591,420/914,919 = 914,919/x
  3. Step 3: Cross multiply
    591,420x = 914,919 × 914,919
  4. Step 4: Simplify right side
    591,420x = 837,076,776,561
  5. Step 5: Solve for x
    x = 837,076,776,561/591,420
  6. Step 6: Final answer
    x = 1,415,367.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.