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Finding the Third Proportional to 434,663 and 916,521

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Solution

The third proportional to 434,663 and 916,521 is: 1,932,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,663 : 916,521 = 916,521 : x
  2. Step 2: Convert to fraction form
    434,663/916,521 = 916,521/x
  3. Step 3: Cross multiply
    434,663x = 916,521 × 916,521
  4. Step 4: Simplify right side
    434,663x = 840,010,743,441
  5. Step 5: Solve for x
    x = 840,010,743,441/434,663
  6. Step 6: Final answer
    x = 1,932,556.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.