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Finding the Third Proportional to 923,133 and 1,939,569

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Solution

The third proportional to 923,133 and 1,939,569 is: 4,075,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,133 : 1,939,569 = 1,939,569 : x
  2. Step 2: Convert to fraction form
    923,133/1,939,569 = 1,939,569/x
  3. Step 3: Cross multiply
    923,133x = 1,939,569 × 1,939,569
  4. Step 4: Simplify right side
    923,133x = 3,761,927,905,761
  5. Step 5: Solve for x
    x = 3,761,927,905,761/923,133
  6. Step 6: Final answer
    x = 4,075,174.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.