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Finding the Third Proportional to 1,278,283 and 2,736,123

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Solution

The third proportional to 1,278,283 and 2,736,123 is: 5,856,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,283 : 2,736,123 = 2,736,123 : x
  2. Step 2: Convert to fraction form
    1,278,283/2,736,123 = 2,736,123/x
  3. Step 3: Cross multiply
    1,278,283x = 2,736,123 × 2,736,123
  4. Step 4: Simplify right side
    1,278,283x = 7,486,369,071,129
  5. Step 5: Solve for x
    x = 7,486,369,071,129/1,278,283
  6. Step 6: Final answer
    x = 5,856,581.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.