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Finding the Third Proportional to 786,418 and 1,705,988

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Solution

The third proportional to 786,418 and 1,705,988 is: 3,700,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,418 : 1,705,988 = 1,705,988 : x
  2. Step 2: Convert to fraction form
    786,418/1,705,988 = 1,705,988/x
  3. Step 3: Cross multiply
    786,418x = 1,705,988 × 1,705,988
  4. Step 4: Simplify right side
    786,418x = 2,910,395,056,144
  5. Step 5: Solve for x
    x = 2,910,395,056,144/786,418
  6. Step 6: Final answer
    x = 3,700,824.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.