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Finding the Third Proportional to 1,596,926 and 2,412,021

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Solution

The third proportional to 1,596,926 and 2,412,021 is: 3,643,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,926 : 2,412,021 = 2,412,021 : x
  2. Step 2: Convert to fraction form
    1,596,926/2,412,021 = 2,412,021/x
  3. Step 3: Cross multiply
    1,596,926x = 2,412,021 × 2,412,021
  4. Step 4: Simplify right side
    1,596,926x = 5,817,845,304,441
  5. Step 5: Solve for x
    x = 5,817,845,304,441/1,596,926
  6. Step 6: Final answer
    x = 3,643,152.72

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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.