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Finding the Third Proportional to 666,106 and 1,015,845

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Solution

The third proportional to 666,106 and 1,015,845 is: 1,549,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,106 : 1,015,845 = 1,015,845 : x
  2. Step 2: Convert to fraction form
    666,106/1,015,845 = 1,015,845/x
  3. Step 3: Cross multiply
    666,106x = 1,015,845 × 1,015,845
  4. Step 4: Simplify right side
    666,106x = 1,031,941,064,025
  5. Step 5: Solve for x
    x = 1,031,941,064,025/666,106
  6. Step 6: Final answer
    x = 1,549,214.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.