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Finding the Third Proportional to 846,221 and 1,222,729

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Solution

The third proportional to 846,221 and 1,222,729 is: 1,766,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,221 : 1,222,729 = 1,222,729 : x
  2. Step 2: Convert to fraction form
    846,221/1,222,729 = 1,222,729/x
  3. Step 3: Cross multiply
    846,221x = 1,222,729 × 1,222,729
  4. Step 4: Simplify right side
    846,221x = 1,495,066,207,441
  5. Step 5: Solve for x
    x = 1,495,066,207,441/846,221
  6. Step 6: Final answer
    x = 1,766,756.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.