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Finding the Third Proportional to 807,896 and 1,196,221

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Solution

The third proportional to 807,896 and 1,196,221 is: 1,771,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,896 : 1,196,221 = 1,196,221 : x
  2. Step 2: Convert to fraction form
    807,896/1,196,221 = 1,196,221/x
  3. Step 3: Cross multiply
    807,896x = 1,196,221 × 1,196,221
  4. Step 4: Simplify right side
    807,896x = 1,430,944,680,841
  5. Step 5: Solve for x
    x = 1,430,944,680,841/807,896
  6. Step 6: Final answer
    x = 1,771,199.12

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.