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Finding the Third Proportional to 561,929 and 839,569

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Solution

The third proportional to 561,929 and 839,569 is: 1,254,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,929 : 839,569 = 839,569 : x
  2. Step 2: Convert to fraction form
    561,929/839,569 = 839,569/x
  3. Step 3: Cross multiply
    561,929x = 839,569 × 839,569
  4. Step 4: Simplify right side
    561,929x = 704,876,105,761
  5. Step 5: Solve for x
    x = 704,876,105,761/561,929
  6. Step 6: Final answer
    x = 1,254,386.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.