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Finding the Third Proportional to 962,142 and 2,088,240

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Solution

The third proportional to 962,142 and 2,088,240 is: 4,532,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,142 : 2,088,240 = 2,088,240 : x
  2. Step 2: Convert to fraction form
    962,142/2,088,240 = 2,088,240/x
  3. Step 3: Cross multiply
    962,142x = 2,088,240 × 2,088,240
  4. Step 4: Simplify right side
    962,142x = 4,360,746,297,600
  5. Step 5: Solve for x
    x = 4,360,746,297,600/962,142
  6. Step 6: Final answer
    x = 4,532,331.30

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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.