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Finding the Third Proportional to 762,722 and 1,642,196

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Solution

The third proportional to 762,722 and 1,642,196 is: 3,535,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,722 : 1,642,196 = 1,642,196 : x
  2. Step 2: Convert to fraction form
    762,722/1,642,196 = 1,642,196/x
  3. Step 3: Cross multiply
    762,722x = 1,642,196 × 1,642,196
  4. Step 4: Simplify right side
    762,722x = 2,696,807,702,416
  5. Step 5: Solve for x
    x = 2,696,807,702,416/762,722
  6. Step 6: Final answer
    x = 3,535,767.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.