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Finding the Third Proportional to 2,160,434 and 4,727,476

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Solution

The third proportional to 2,160,434 and 4,727,476 is: 10,344,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,434 : 4,727,476 = 4,727,476 : x
  2. Step 2: Convert to fraction form
    2,160,434/4,727,476 = 4,727,476/x
  3. Step 3: Cross multiply
    2,160,434x = 4,727,476 × 4,727,476
  4. Step 4: Simplify right side
    2,160,434x = 22,349,029,330,576
  5. Step 5: Solve for x
    x = 22,349,029,330,576/2,160,434
  6. Step 6: Final answer
    x = 10,344,694.32

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