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Finding the Third Proportional to 2,230,643 and 4,784,901

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Solution

The third proportional to 2,230,643 and 4,784,901 is: 10,263,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230,643 : 4,784,901 = 4,784,901 : x
  2. Step 2: Convert to fraction form
    2,230,643/4,784,901 = 4,784,901/x
  3. Step 3: Cross multiply
    2,230,643x = 4,784,901 × 4,784,901
  4. Step 4: Simplify right side
    2,230,643x = 22,895,277,579,801
  5. Step 5: Solve for x
    x = 22,895,277,579,801/2,230,643
  6. Step 6: Final answer
    x = 10,263,981.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.