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Finding the Third Proportional to 786,074 and 1,684,210

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Solution

The third proportional to 786,074 and 1,684,210 is: 3,608,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,074 : 1,684,210 = 1,684,210 : x
  2. Step 2: Convert to fraction form
    786,074/1,684,210 = 1,684,210/x
  3. Step 3: Cross multiply
    786,074x = 1,684,210 × 1,684,210
  4. Step 4: Simplify right side
    786,074x = 2,836,563,324,100
  5. Step 5: Solve for x
    x = 2,836,563,324,100/786,074
  6. Step 6: Final answer
    x = 3,608,519.46

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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.