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Finding the Third Proportional to 2,359,123 and 4,817,265

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Solution

The third proportional to 2,359,123 and 4,817,265 is: 9,836,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,123 : 4,817,265 = 4,817,265 : x
  2. Step 2: Convert to fraction form
    2,359,123/4,817,265 = 4,817,265/x
  3. Step 3: Cross multiply
    2,359,123x = 4,817,265 × 4,817,265
  4. Step 4: Simplify right side
    2,359,123x = 23,206,042,080,225
  5. Step 5: Solve for x
    x = 23,206,042,080,225/2,359,123
  6. Step 6: Final answer
    x = 9,836,724.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.