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Finding the Third Proportional to 1,276,284 and 1,975,965

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Solution

The third proportional to 1,276,284 and 1,975,965 is: 3,059,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,284 : 1,975,965 = 1,975,965 : x
  2. Step 2: Convert to fraction form
    1,276,284/1,975,965 = 1,975,965/x
  3. Step 3: Cross multiply
    1,276,284x = 1,975,965 × 1,975,965
  4. Step 4: Simplify right side
    1,276,284x = 3,904,437,681,225
  5. Step 5: Solve for x
    x = 3,904,437,681,225/1,276,284
  6. Step 6: Final answer
    x = 3,059,223.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.