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Finding the Third Proportional to 2,024,898 and 4,277,472

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Solution

The third proportional to 2,024,898 and 4,277,472 is: 9,035,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,898 : 4,277,472 = 4,277,472 : x
  2. Step 2: Convert to fraction form
    2,024,898/4,277,472 = 4,277,472/x
  3. Step 3: Cross multiply
    2,024,898x = 4,277,472 × 4,277,472
  4. Step 4: Simplify right side
    2,024,898x = 18,296,766,710,784
  5. Step 5: Solve for x
    x = 18,296,766,710,784/2,024,898
  6. Step 6: Final answer
    x = 9,035,895.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.