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Finding the Third Proportional to 1,280,954 and 2,772,291

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Solution

The third proportional to 1,280,954 and 2,772,291 is: 5,999,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,954 : 2,772,291 = 2,772,291 : x
  2. Step 2: Convert to fraction form
    1,280,954/2,772,291 = 2,772,291/x
  3. Step 3: Cross multiply
    1,280,954x = 2,772,291 × 2,772,291
  4. Step 4: Simplify right side
    1,280,954x = 7,685,597,388,681
  5. Step 5: Solve for x
    x = 7,685,597,388,681/1,280,954
  6. Step 6: Final answer
    x = 5,999,901.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.