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Finding the Third Proportional to 1,129,152 and 1,605,024

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Solution

The third proportional to 1,129,152 and 1,605,024 is: 2,281,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,152 : 1,605,024 = 1,605,024 : x
  2. Step 2: Convert to fraction form
    1,129,152/1,605,024 = 1,605,024/x
  3. Step 3: Cross multiply
    1,129,152x = 1,605,024 × 1,605,024
  4. Step 4: Simplify right side
    1,129,152x = 2,576,102,040,576
  5. Step 5: Solve for x
    x = 2,576,102,040,576/1,129,152
  6. Step 6: Final answer
    x = 2,281,448.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.