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Finding the Third Proportional to 932,401 and 2,038,135

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Solution

The third proportional to 932,401 and 2,038,135 is: 4,455,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,401 : 2,038,135 = 2,038,135 : x
  2. Step 2: Convert to fraction form
    932,401/2,038,135 = 2,038,135/x
  3. Step 3: Cross multiply
    932,401x = 2,038,135 × 2,038,135
  4. Step 4: Simplify right side
    932,401x = 4,153,994,278,225
  5. Step 5: Solve for x
    x = 4,153,994,278,225/932,401
  6. Step 6: Final answer
    x = 4,455,158.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.