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Finding the Third Proportional to 656,157 and 1,435,758

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Solution

The third proportional to 656,157 and 1,435,758 is: 3,141,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,157 : 1,435,758 = 1,435,758 : x
  2. Step 2: Convert to fraction form
    656,157/1,435,758 = 1,435,758/x
  3. Step 3: Cross multiply
    656,157x = 1,435,758 × 1,435,758
  4. Step 4: Simplify right side
    656,157x = 2,061,401,034,564
  5. Step 5: Solve for x
    x = 2,061,401,034,564/656,157
  6. Step 6: Final answer
    x = 3,141,627.74

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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.