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Finding the Third Proportional to 932,400 and 1,401,192

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Solution

The third proportional to 932,400 and 1,401,192 is: 2,105,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,400 : 1,401,192 = 1,401,192 : x
  2. Step 2: Convert to fraction form
    932,400/1,401,192 = 1,401,192/x
  3. Step 3: Cross multiply
    932,400x = 1,401,192 × 1,401,192
  4. Step 4: Simplify right side
    932,400x = 1,963,339,020,864
  5. Step 5: Solve for x
    x = 1,963,339,020,864/932,400
  6. Step 6: Final answer
    x = 2,105,683.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.