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Finding the Third Proportional to 1,596,081 and 2,413,008

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Solution

The third proportional to 1,596,081 and 2,413,008 is: 3,648,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,081 : 2,413,008 = 2,413,008 : x
  2. Step 2: Convert to fraction form
    1,596,081/2,413,008 = 2,413,008/x
  3. Step 3: Cross multiply
    1,596,081x = 2,413,008 × 2,413,008
  4. Step 4: Simplify right side
    1,596,081x = 5,822,607,608,064
  5. Step 5: Solve for x
    x = 5,822,607,608,064/1,596,081
  6. Step 6: Final answer
    x = 3,648,065.23

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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.