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Finding the Third Proportional to 1,742,678 and 2,665,281

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Solution

The third proportional to 1,742,678 and 2,665,281 is: 4,076,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,678 : 2,665,281 = 2,665,281 : x
  2. Step 2: Convert to fraction form
    1,742,678/2,665,281 = 2,665,281/x
  3. Step 3: Cross multiply
    1,742,678x = 2,665,281 × 2,665,281
  4. Step 4: Simplify right side
    1,742,678x = 7,103,722,808,961
  5. Step 5: Solve for x
    x = 7,103,722,808,961/1,742,678
  6. Step 6: Final answer
    x = 4,076,325.52

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Why These Related Problems?

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