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Finding the Third Proportional to 435,402 and 923,655

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Solution

The third proportional to 435,402 and 923,655 is: 1,959,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,402 : 923,655 = 923,655 : x
  2. Step 2: Convert to fraction form
    435,402/923,655 = 923,655/x
  3. Step 3: Cross multiply
    435,402x = 923,655 × 923,655
  4. Step 4: Simplify right side
    435,402x = 853,138,559,025
  5. Step 5: Solve for x
    x = 853,138,559,025/435,402
  6. Step 6: Final answer
    x = 1,959,427.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.