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Finding the Third Proportional to 786,030 and 1,684,125

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Solution

The third proportional to 786,030 and 1,684,125 is: 3,608,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,030 : 1,684,125 = 1,684,125 : x
  2. Step 2: Convert to fraction form
    786,030/1,684,125 = 1,684,125/x
  3. Step 3: Cross multiply
    786,030x = 1,684,125 × 1,684,125
  4. Step 4: Simplify right side
    786,030x = 2,836,277,015,625
  5. Step 5: Solve for x
    x = 2,836,277,015,625/786,030
  6. Step 6: Final answer
    x = 3,608,357.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.