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Finding the Third Proportional to 623,801 and 947,376

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Solution

The third proportional to 623,801 and 947,376 is: 1,438,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,801 : 947,376 = 947,376 : x
  2. Step 2: Convert to fraction form
    623,801/947,376 = 947,376/x
  3. Step 3: Cross multiply
    623,801x = 947,376 × 947,376
  4. Step 4: Simplify right side
    623,801x = 897,521,285,376
  5. Step 5: Solve for x
    x = 897,521,285,376/623,801
  6. Step 6: Final answer
    x = 1,438,794.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.