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Finding the Third Proportional to 1,225,278 and 2,529,306

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Solution

The third proportional to 1,225,278 and 2,529,306 is: 5,221,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,278 : 2,529,306 = 2,529,306 : x
  2. Step 2: Convert to fraction form
    1,225,278/2,529,306 = 2,529,306/x
  3. Step 3: Cross multiply
    1,225,278x = 2,529,306 × 2,529,306
  4. Step 4: Simplify right side
    1,225,278x = 6,397,388,841,636
  5. Step 5: Solve for x
    x = 6,397,388,841,636/1,225,278
  6. Step 6: Final answer
    x = 5,221,173.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.