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Finding the Third Proportional to 1,298,062 and 1,936,291

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Solution

The third proportional to 1,298,062 and 1,936,291 is: 2,888,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,062 : 1,936,291 = 1,936,291 : x
  2. Step 2: Convert to fraction form
    1,298,062/1,936,291 = 1,936,291/x
  3. Step 3: Cross multiply
    1,298,062x = 1,936,291 × 1,936,291
  4. Step 4: Simplify right side
    1,298,062x = 3,749,222,836,681
  5. Step 5: Solve for x
    x = 3,749,222,836,681/1,298,062
  6. Step 6: Final answer
    x = 2,888,323.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.