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Finding the Third Proportional to 932,634 and 1,440,186

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Solution

The third proportional to 932,634 and 1,440,186 is: 2,223,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,634 : 1,440,186 = 1,440,186 : x
  2. Step 2: Convert to fraction form
    932,634/1,440,186 = 1,440,186/x
  3. Step 3: Cross multiply
    932,634x = 1,440,186 × 1,440,186
  4. Step 4: Simplify right side
    932,634x = 2,074,135,714,596
  5. Step 5: Solve for x
    x = 2,074,135,714,596/932,634
  6. Step 6: Final answer
    x = 2,223,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.