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Finding the Third Proportional to 807,432 and 1,698,512

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Solution

The third proportional to 807,432 and 1,698,512 is: 3,572,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,432 : 1,698,512 = 1,698,512 : x
  2. Step 2: Convert to fraction form
    807,432/1,698,512 = 1,698,512/x
  3. Step 3: Cross multiply
    807,432x = 1,698,512 × 1,698,512
  4. Step 4: Simplify right side
    807,432x = 2,884,943,014,144
  5. Step 5: Solve for x
    x = 2,884,943,014,144/807,432
  6. Step 6: Final answer
    x = 3,572,985.73

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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.