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Finding the Third Proportional to 2,171,480 and 2,855,472

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Solution

The third proportional to 2,171,480 and 2,855,472 is: 3,754,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,480 : 2,855,472 = 2,855,472 : x
  2. Step 2: Convert to fraction form
    2,171,480/2,855,472 = 2,855,472/x
  3. Step 3: Cross multiply
    2,171,480x = 2,855,472 × 2,855,472
  4. Step 4: Simplify right side
    2,171,480x = 8,153,720,342,784
  5. Step 5: Solve for x
    x = 8,153,720,342,784/2,171,480
  6. Step 6: Final answer
    x = 3,754,913.86

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.