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Finding the Third Proportional to 1,596,932 and 2,412,032

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Solution

The third proportional to 1,596,932 and 2,412,032 is: 3,643,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,932 : 2,412,032 = 2,412,032 : x
  2. Step 2: Convert to fraction form
    1,596,932/2,412,032 = 2,412,032/x
  3. Step 3: Cross multiply
    1,596,932x = 2,412,032 × 2,412,032
  4. Step 4: Simplify right side
    1,596,932x = 5,817,898,369,024
  5. Step 5: Solve for x
    x = 5,817,898,369,024/1,596,932
  6. Step 6: Final answer
    x = 3,643,172.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.