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Finding the Third Proportional to 693,218 and 1,489,604

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Solution

The third proportional to 693,218 and 1,489,604 is: 3,200,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,218 : 1,489,604 = 1,489,604 : x
  2. Step 2: Convert to fraction form
    693,218/1,489,604 = 1,489,604/x
  3. Step 3: Cross multiply
    693,218x = 1,489,604 × 1,489,604
  4. Step 4: Simplify right side
    693,218x = 2,218,920,076,816
  5. Step 5: Solve for x
    x = 2,218,920,076,816/693,218
  6. Step 6: Final answer
    x = 3,200,897.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.