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Finding the Third Proportional to 962,214 and 2,088,340

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Solution

The third proportional to 962,214 and 2,088,340 is: 4,532,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,214 : 2,088,340 = 2,088,340 : x
  2. Step 2: Convert to fraction form
    962,214/2,088,340 = 2,088,340/x
  3. Step 3: Cross multiply
    962,214x = 2,088,340 × 2,088,340
  4. Step 4: Simplify right side
    962,214x = 4,361,163,955,600
  5. Step 5: Solve for x
    x = 4,361,163,955,600/962,214
  6. Step 6: Final answer
    x = 4,532,426.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.