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Finding the Third Proportional to 786,030 and 1,684,212

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Solution

The third proportional to 786,030 and 1,684,212 is: 3,608,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,030 : 1,684,212 = 1,684,212 : x
  2. Step 2: Convert to fraction form
    786,030/1,684,212 = 1,684,212/x
  3. Step 3: Cross multiply
    786,030x = 1,684,212 × 1,684,212
  4. Step 4: Simplify right side
    786,030x = 2,836,570,060,944
  5. Step 5: Solve for x
    x = 2,836,570,060,944/786,030
  6. Step 6: Final answer
    x = 3,608,730.02

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