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Finding the Third Proportional to 762,315 and 1,629,642

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Solution

The third proportional to 762,315 and 1,629,642 is: 3,483,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,315 : 1,629,642 = 1,629,642 : x
  2. Step 2: Convert to fraction form
    762,315/1,629,642 = 1,629,642/x
  3. Step 3: Cross multiply
    762,315x = 1,629,642 × 1,629,642
  4. Step 4: Simplify right side
    762,315x = 2,655,733,048,164
  5. Step 5: Solve for x
    x = 2,655,733,048,164/762,315
  6. Step 6: Final answer
    x = 3,483,773.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.