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Finding the Third Proportional to 693,417 and 1,491,810

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Solution

The third proportional to 693,417 and 1,491,810 is: 3,209,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,417 : 1,491,810 = 1,491,810 : x
  2. Step 2: Convert to fraction form
    693,417/1,491,810 = 1,491,810/x
  3. Step 3: Cross multiply
    693,417x = 1,491,810 × 1,491,810
  4. Step 4: Simplify right side
    693,417x = 2,225,497,076,100
  5. Step 5: Solve for x
    x = 2,225,497,076,100/693,417
  6. Step 6: Final answer
    x = 3,209,464.26

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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.