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Finding the Third Proportional to 786,031 and 1,684,214

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Solution

The third proportional to 786,031 and 1,684,214 is: 3,608,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,031 : 1,684,214 = 1,684,214 : x
  2. Step 2: Convert to fraction form
    786,031/1,684,214 = 1,684,214/x
  3. Step 3: Cross multiply
    786,031x = 1,684,214 × 1,684,214
  4. Step 4: Simplify right side
    786,031x = 2,836,576,797,796
  5. Step 5: Solve for x
    x = 2,836,576,797,796/786,031
  6. Step 6: Final answer
    x = 3,608,734.00

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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.