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Finding the Third Proportional to 1,251,646.25 and 2,569,645

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Solution

The third proportional to 1,251,646.25 and 2,569,645 is: 5,275,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,646.25 : 2,569,645 = 2,569,645 : x
  2. Step 2: Convert to fraction form
    1,251,646.25/2,569,645 = 2,569,645/x
  3. Step 3: Cross multiply
    1,251,646.25x = 2,569,645 × 2,569,645
  4. Step 4: Simplify right side
    1,251,646.25x = 6,603,075,426,025
  5. Step 5: Solve for x
    x = 6,603,075,426,025/1,251,646.25
  6. Step 6: Final answer
    x = 5,275,512.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.