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Finding the Third Proportional to 900,638 and 1,393,034

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Solution

The third proportional to 900,638 and 1,393,034 is: 2,154,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,638 : 1,393,034 = 1,393,034 : x
  2. Step 2: Convert to fraction form
    900,638/1,393,034 = 1,393,034/x
  3. Step 3: Cross multiply
    900,638x = 1,393,034 × 1,393,034
  4. Step 4: Simplify right side
    900,638x = 1,940,543,725,156
  5. Step 5: Solve for x
    x = 1,940,543,725,156/900,638
  6. Step 6: Final answer
    x = 2,154,632.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.