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Finding the Third Proportional to 790,899 and 1,706,214

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Solution

The third proportional to 790,899 and 1,706,214 is: 3,680,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,899 : 1,706,214 = 1,706,214 : x
  2. Step 2: Convert to fraction form
    790,899/1,706,214 = 1,706,214/x
  3. Step 3: Cross multiply
    790,899x = 1,706,214 × 1,706,214
  4. Step 4: Simplify right side
    790,899x = 2,911,166,213,796
  5. Step 5: Solve for x
    x = 2,911,166,213,796/790,899
  6. Step 6: Final answer
    x = 3,680,831.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.