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Finding the Third Proportional to 1,144,822 and 1,780,272

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Solution

The third proportional to 1,144,822 and 1,780,272 is: 2,768,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,822 : 1,780,272 = 1,780,272 : x
  2. Step 2: Convert to fraction form
    1,144,822/1,780,272 = 1,780,272/x
  3. Step 3: Cross multiply
    1,144,822x = 1,780,272 × 1,780,272
  4. Step 4: Simplify right side
    1,144,822x = 3,169,368,393,984
  5. Step 5: Solve for x
    x = 3,169,368,393,984/1,144,822
  6. Step 6: Final answer
    x = 2,768,437.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.