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Finding the Third Proportional to 807,532 and 1,698,672

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Solution

The third proportional to 807,532 and 1,698,672 is: 3,573,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,532 : 1,698,672 = 1,698,672 : x
  2. Step 2: Convert to fraction form
    807,532/1,698,672 = 1,698,672/x
  3. Step 3: Cross multiply
    807,532x = 1,698,672 × 1,698,672
  4. Step 4: Simplify right side
    807,532x = 2,885,486,563,584
  5. Step 5: Solve for x
    x = 2,885,486,563,584/807,532
  6. Step 6: Final answer
    x = 3,573,216.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.