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Finding the Third Proportional to 589,172 and 921,672

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Solution

The third proportional to 589,172 and 921,672 is: 1,441,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,172 : 921,672 = 921,672 : x
  2. Step 2: Convert to fraction form
    589,172/921,672 = 921,672/x
  3. Step 3: Cross multiply
    589,172x = 921,672 × 921,672
  4. Step 4: Simplify right side
    589,172x = 849,479,275,584
  5. Step 5: Solve for x
    x = 849,479,275,584/589,172
  6. Step 6: Final answer
    x = 1,441,818.82

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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.