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Finding the Third Proportional to 1,282,123 and 2,742,122

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Solution

The third proportional to 1,282,123 and 2,742,122 is: 5,864,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,123 : 2,742,122 = 2,742,122 : x
  2. Step 2: Convert to fraction form
    1,282,123/2,742,122 = 2,742,122/x
  3. Step 3: Cross multiply
    1,282,123x = 2,742,122 × 2,742,122
  4. Step 4: Simplify right side
    1,282,123x = 7,519,233,062,884
  5. Step 5: Solve for x
    x = 7,519,233,062,884/1,282,123
  6. Step 6: Final answer
    x = 5,864,673.72

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Why These Related Problems?

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