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Finding the Third Proportional to 589,107 and 921,569

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Solution

The third proportional to 589,107 and 921,569 is: 1,441,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,107 : 921,569 = 921,569 : x
  2. Step 2: Convert to fraction form
    589,107/921,569 = 921,569/x
  3. Step 3: Cross multiply
    589,107x = 921,569 × 921,569
  4. Step 4: Simplify right side
    589,107x = 849,289,421,761
  5. Step 5: Solve for x
    x = 849,289,421,761/589,107
  6. Step 6: Final answer
    x = 1,441,655.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.