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Finding the Third Proportional to 434,665 and 916,525

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Solution

The third proportional to 434,665 and 916,525 is: 1,932,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,665 : 916,525 = 916,525 : x
  2. Step 2: Convert to fraction form
    434,665/916,525 = 916,525/x
  3. Step 3: Cross multiply
    434,665x = 916,525 × 916,525
  4. Step 4: Simplify right side
    434,665x = 840,018,075,625
  5. Step 5: Solve for x
    x = 840,018,075,625/434,665
  6. Step 6: Final answer
    x = 1,932,564.33

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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.