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Finding the Third Proportional to 2,700,192 and 3,798,160

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Solution

The third proportional to 2,700,192 and 3,798,160 is: 5,342,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700,192 : 3,798,160 = 3,798,160 : x
  2. Step 2: Convert to fraction form
    2,700,192/3,798,160 = 3,798,160/x
  3. Step 3: Cross multiply
    2,700,192x = 3,798,160 × 3,798,160
  4. Step 4: Simplify right side
    2,700,192x = 14,426,019,385,600
  5. Step 5: Solve for x
    x = 14,426,019,385,600/2,700,192
  6. Step 6: Final answer
    x = 5,342,590.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.