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Finding the Third Proportional to 419,414 and 912,556

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Solution

The third proportional to 419,414 and 912,556 is: 1,985,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414 : 912,556 = 912,556 : x
  2. Step 2: Convert to fraction form
    419,414/912,556 = 912,556/x
  3. Step 3: Cross multiply
    419,414x = 912,556 × 912,556
  4. Step 4: Simplify right side
    419,414x = 832,758,453,136
  5. Step 5: Solve for x
    x = 832,758,453,136/419,414
  6. Step 6: Final answer
    x = 1,985,528.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.