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Finding the Third Proportional to 2,770,432 and 5,762,528

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Solution

The third proportional to 2,770,432 and 5,762,528 is: 11,986,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770,432 : 5,762,528 = 5,762,528 : x
  2. Step 2: Convert to fraction form
    2,770,432/5,762,528 = 5,762,528/x
  3. Step 3: Cross multiply
    2,770,432x = 5,762,528 × 5,762,528
  4. Step 4: Simplify right side
    2,770,432x = 33,206,728,950,784
  5. Step 5: Solve for x
    x = 33,206,728,950,784/2,770,432
  6. Step 6: Final answer
    x = 11,986,119.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.