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Finding the Third Proportional to 2,853,812 and 4,178,334

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Solution

The third proportional to 2,853,812 and 4,178,334 is: 6,117,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,812 : 4,178,334 = 4,178,334 : x
  2. Step 2: Convert to fraction form
    2,853,812/4,178,334 = 4,178,334/x
  3. Step 3: Cross multiply
    2,853,812x = 4,178,334 × 4,178,334
  4. Step 4: Simplify right side
    2,853,812x = 17,458,475,015,556
  5. Step 5: Solve for x
    x = 17,458,475,015,556/2,853,812
  6. Step 6: Final answer
    x = 6,117,598.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.