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Finding the Third Proportional to 1,742,600 and 2,665,164

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Solution

The third proportional to 1,742,600 and 2,665,164 is: 4,076,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,600 : 2,665,164 = 2,665,164 : x
  2. Step 2: Convert to fraction form
    1,742,600/2,665,164 = 2,665,164/x
  3. Step 3: Cross multiply
    1,742,600x = 2,665,164 × 2,665,164
  4. Step 4: Simplify right side
    1,742,600x = 7,103,099,146,896
  5. Step 5: Solve for x
    x = 7,103,099,146,896/1,742,600
  6. Step 6: Final answer
    x = 4,076,150.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.