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Finding the Third Proportional to 623,870 and 869,238

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Solution

The third proportional to 623,870 and 869,238 is: 1,211,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,870 : 869,238 = 869,238 : x
  2. Step 2: Convert to fraction form
    623,870/869,238 = 869,238/x
  3. Step 3: Cross multiply
    623,870x = 869,238 × 869,238
  4. Step 4: Simplify right side
    623,870x = 755,574,700,644
  5. Step 5: Solve for x
    x = 755,574,700,644/623,870
  6. Step 6: Final answer
    x = 1,211,109.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.