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Finding the Third Proportional to 614,457 and 1,336,761

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Solution

The third proportional to 614,457 and 1,336,761 is: 2,908,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,457 : 1,336,761 = 1,336,761 : x
  2. Step 2: Convert to fraction form
    614,457/1,336,761 = 1,336,761/x
  3. Step 3: Cross multiply
    614,457x = 1,336,761 × 1,336,761
  4. Step 4: Simplify right side
    614,457x = 1,786,929,971,121
  5. Step 5: Solve for x
    x = 1,786,929,971,121/614,457
  6. Step 6: Final answer
    x = 2,908,144.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.