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Finding the Third Proportional to 434,666 and 916,532

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Solution

The third proportional to 434,666 and 916,532 is: 1,932,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,666 : 916,532 = 916,532 : x
  2. Step 2: Convert to fraction form
    434,666/916,532 = 916,532/x
  3. Step 3: Cross multiply
    434,666x = 916,532 × 916,532
  4. Step 4: Simplify right side
    434,666x = 840,030,907,024
  5. Step 5: Solve for x
    x = 840,030,907,024/434,666
  6. Step 6: Final answer
    x = 1,932,589.41

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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.