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Finding the Third Proportional to 1,275,924 and 2,021,344

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Solution

The third proportional to 1,275,924 and 2,021,344 is: 3,202,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,924 : 2,021,344 = 2,021,344 : x
  2. Step 2: Convert to fraction form
    1,275,924/2,021,344 = 2,021,344/x
  3. Step 3: Cross multiply
    1,275,924x = 2,021,344 × 2,021,344
  4. Step 4: Simplify right side
    1,275,924x = 4,085,831,566,336
  5. Step 5: Solve for x
    x = 4,085,831,566,336/1,275,924
  6. Step 6: Final answer
    x = 3,202,253.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.