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Finding the Third Proportional to 930,106 and 1,401,991

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Solution

The third proportional to 930,106 and 1,401,991 is: 2,113,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,106 : 1,401,991 = 1,401,991 : x
  2. Step 2: Convert to fraction form
    930,106/1,401,991 = 1,401,991/x
  3. Step 3: Cross multiply
    930,106x = 1,401,991 × 1,401,991
  4. Step 4: Simplify right side
    930,106x = 1,965,578,764,081
  5. Step 5: Solve for x
    x = 1,965,578,764,081/930,106
  6. Step 6: Final answer
    x = 2,113,284.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.