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Finding the Third Proportional to 382,158 and 826,572

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Solution

The third proportional to 382,158 and 826,572 is: 1,787,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,158 : 826,572 = 826,572 : x
  2. Step 2: Convert to fraction form
    382,158/826,572 = 826,572/x
  3. Step 3: Cross multiply
    382,158x = 826,572 × 826,572
  4. Step 4: Simplify right side
    382,158x = 683,221,271,184
  5. Step 5: Solve for x
    x = 683,221,271,184/382,158
  6. Step 6: Final answer
    x = 1,787,797.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.