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Finding the Third Proportional to 343,689 and 812,619

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Solution

The third proportional to 343,689 and 812,619 is: 1,921,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,689 : 812,619 = 812,619 : x
  2. Step 2: Convert to fraction form
    343,689/812,619 = 812,619/x
  3. Step 3: Cross multiply
    343,689x = 812,619 × 812,619
  4. Step 4: Simplify right side
    343,689x = 660,349,639,161
  5. Step 5: Solve for x
    x = 660,349,639,161/343,689
  6. Step 6: Final answer
    x = 1,921,358.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.