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Finding the Third Proportional to 602,882 and 1,309,444

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Solution

The third proportional to 602,882 and 1,309,444 is: 2,844,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,882 : 1,309,444 = 1,309,444 : x
  2. Step 2: Convert to fraction form
    602,882/1,309,444 = 1,309,444/x
  3. Step 3: Cross multiply
    602,882x = 1,309,444 × 1,309,444
  4. Step 4: Simplify right side
    602,882x = 1,714,643,589,136
  5. Step 5: Solve for x
    x = 1,714,643,589,136/602,882
  6. Step 6: Final answer
    x = 2,844,078.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.