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Finding the Third Proportional to 2,085,239 and 4,569,025

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Solution

The third proportional to 2,085,239 and 4,569,025 is: 10,011,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,239 : 4,569,025 = 4,569,025 : x
  2. Step 2: Convert to fraction form
    2,085,239/4,569,025 = 4,569,025/x
  3. Step 3: Cross multiply
    2,085,239x = 4,569,025 × 4,569,025
  4. Step 4: Simplify right side
    2,085,239x = 20,875,989,450,625
  5. Step 5: Solve for x
    x = 20,875,989,450,625/2,085,239
  6. Step 6: Final answer
    x = 10,011,317.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.