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Finding the Third Proportional to 510,796 and 1,121,222

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Solution

The third proportional to 510,796 and 1,121,222 is: 2,461,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,796 : 1,121,222 = 1,121,222 : x
  2. Step 2: Convert to fraction form
    510,796/1,121,222 = 1,121,222/x
  3. Step 3: Cross multiply
    510,796x = 1,121,222 × 1,121,222
  4. Step 4: Simplify right side
    510,796x = 1,257,138,773,284
  5. Step 5: Solve for x
    x = 1,257,138,773,284/510,796
  6. Step 6: Final answer
    x = 2,461,136.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.