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Finding the Third Proportional to 1,123,040 and 2,456,032

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Solution

The third proportional to 1,123,040 and 2,456,032 is: 5,371,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,040 : 2,456,032 = 2,456,032 : x
  2. Step 2: Convert to fraction form
    1,123,040/2,456,032 = 2,456,032/x
  3. Step 3: Cross multiply
    1,123,040x = 2,456,032 × 2,456,032
  4. Step 4: Simplify right side
    1,123,040x = 6,032,093,185,024
  5. Step 5: Solve for x
    x = 6,032,093,185,024/1,123,040
  6. Step 6: Final answer
    x = 5,371,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.