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Finding the Third Proportional to 2,037,207 and 4,317,261

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Solution

The third proportional to 2,037,207 and 4,317,261 is: 9,149,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,207 : 4,317,261 = 4,317,261 : x
  2. Step 2: Convert to fraction form
    2,037,207/4,317,261 = 4,317,261/x
  3. Step 3: Cross multiply
    2,037,207x = 4,317,261 × 4,317,261
  4. Step 4: Simplify right side
    2,037,207x = 18,638,742,542,121
  5. Step 5: Solve for x
    x = 18,638,742,542,121/2,037,207
  6. Step 6: Final answer
    x = 9,149,164.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.