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Finding the Third Proportional to 824,569 and 1,261,376

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Solution

The third proportional to 824,569 and 1,261,376 is: 1,929,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,569 : 1,261,376 = 1,261,376 : x
  2. Step 2: Convert to fraction form
    824,569/1,261,376 = 1,261,376/x
  3. Step 3: Cross multiply
    824,569x = 1,261,376 × 1,261,376
  4. Step 4: Simplify right side
    824,569x = 1,591,069,413,376
  5. Step 5: Solve for x
    x = 1,591,069,413,376/824,569
  6. Step 6: Final answer
    x = 1,929,577.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.