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Finding the Third Proportional to 2,182,310 and 4,713,084

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Solution

The third proportional to 2,182,310 and 4,713,084 is: 10,178,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,310 : 4,713,084 = 4,713,084 : x
  2. Step 2: Convert to fraction form
    2,182,310/4,713,084 = 4,713,084/x
  3. Step 3: Cross multiply
    2,182,310x = 4,713,084 × 4,713,084
  4. Step 4: Simplify right side
    2,182,310x = 22,213,160,791,056
  5. Step 5: Solve for x
    x = 22,213,160,791,056/2,182,310
  6. Step 6: Final answer
    x = 10,178,737.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.