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Finding the Third Proportional to 429,168 and 923,784

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Solution

The third proportional to 429,168 and 923,784 is: 1,988,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,168 : 923,784 = 923,784 : x
  2. Step 2: Convert to fraction form
    429,168/923,784 = 923,784/x
  3. Step 3: Cross multiply
    429,168x = 923,784 × 923,784
  4. Step 4: Simplify right side
    429,168x = 853,376,878,656
  5. Step 5: Solve for x
    x = 853,376,878,656/429,168
  6. Step 6: Final answer
    x = 1,988,444.80

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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.