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Finding the Third Proportional to 1,150,906 and 1,742,352

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Solution

The third proportional to 1,150,906 and 1,742,352 is: 2,637,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,906 : 1,742,352 = 1,742,352 : x
  2. Step 2: Convert to fraction form
    1,150,906/1,742,352 = 1,742,352/x
  3. Step 3: Cross multiply
    1,150,906x = 1,742,352 × 1,742,352
  4. Step 4: Simplify right side
    1,150,906x = 3,035,790,491,904
  5. Step 5: Solve for x
    x = 3,035,790,491,904/1,150,906
  6. Step 6: Final answer
    x = 2,637,739.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.