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Finding the Third Proportional to 459,157 and 1,072,207

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Solution

The third proportional to 459,157 and 1,072,207 is: 2,503,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,157 : 1,072,207 = 1,072,207 : x
  2. Step 2: Convert to fraction form
    459,157/1,072,207 = 1,072,207/x
  3. Step 3: Cross multiply
    459,157x = 1,072,207 × 1,072,207
  4. Step 4: Simplify right side
    459,157x = 1,149,627,850,849
  5. Step 5: Solve for x
    x = 1,149,627,850,849/459,157
  6. Step 6: Final answer
    x = 2,503,779.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.