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Finding the Third Proportional to 771,921 and 1,661,346

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Solution

The third proportional to 771,921 and 1,661,346 is: 3,575,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,921 : 1,661,346 = 1,661,346 : x
  2. Step 2: Convert to fraction form
    771,921/1,661,346 = 1,661,346/x
  3. Step 3: Cross multiply
    771,921x = 1,661,346 × 1,661,346
  4. Step 4: Simplify right side
    771,921x = 2,760,070,531,716
  5. Step 5: Solve for x
    x = 2,760,070,531,716/771,921
  6. Step 6: Final answer
    x = 3,575,586.79

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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.