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Finding the Third Proportional to 1,742,923 and 2,664,549

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Solution

The third proportional to 1,742,923 and 2,664,549 is: 4,073,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,923 : 2,664,549 = 2,664,549 : x
  2. Step 2: Convert to fraction form
    1,742,923/2,664,549 = 2,664,549/x
  3. Step 3: Cross multiply
    1,742,923x = 2,664,549 × 2,664,549
  4. Step 4: Simplify right side
    1,742,923x = 7,099,821,373,401
  5. Step 5: Solve for x
    x = 7,099,821,373,401/1,742,923
  6. Step 6: Final answer
    x = 4,073,514.08

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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.