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Finding the Third Proportional to 807,180 and 1,698,015

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Solution

The third proportional to 807,180 and 1,698,015 is: 3,572,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,180 : 1,698,015 = 1,698,015 : x
  2. Step 2: Convert to fraction form
    807,180/1,698,015 = 1,698,015/x
  3. Step 3: Cross multiply
    807,180x = 1,698,015 × 1,698,015
  4. Step 4: Simplify right side
    807,180x = 2,883,254,940,225
  5. Step 5: Solve for x
    x = 2,883,254,940,225/807,180
  6. Step 6: Final answer
    x = 3,572,009.89

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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.