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Finding the Third Proportional to 589,112 and 921,576

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Solution

The third proportional to 589,112 and 921,576 is: 1,441,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,112 : 921,576 = 921,576 : x
  2. Step 2: Convert to fraction form
    589,112/921,576 = 921,576/x
  3. Step 3: Cross multiply
    589,112x = 921,576 × 921,576
  4. Step 4: Simplify right side
    589,112x = 849,302,323,776
  5. Step 5: Solve for x
    x = 849,302,323,776/589,112
  6. Step 6: Final answer
    x = 1,441,665.29

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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.