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Finding the Third Proportional to 429,156 and 923,760

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Solution

The third proportional to 429,156 and 923,760 is: 1,988,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,156 : 923,760 = 923,760 : x
  2. Step 2: Convert to fraction form
    429,156/923,760 = 923,760/x
  3. Step 3: Cross multiply
    429,156x = 923,760 × 923,760
  4. Step 4: Simplify right side
    429,156x = 853,332,537,600
  5. Step 5: Solve for x
    x = 853,332,537,600/429,156
  6. Step 6: Final answer
    x = 1,988,397.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.