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Finding the Third Proportional to 962,140 and 2,088,236

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Solution

The third proportional to 962,140 and 2,088,236 is: 4,532,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,140 : 2,088,236 = 2,088,236 : x
  2. Step 2: Convert to fraction form
    962,140/2,088,236 = 2,088,236/x
  3. Step 3: Cross multiply
    962,140x = 2,088,236 × 2,088,236
  4. Step 4: Simplify right side
    962,140x = 4,360,729,591,696
  5. Step 5: Solve for x
    x = 4,360,729,591,696/962,140
  6. Step 6: Final answer
    x = 4,532,323.35

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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.