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Finding the Third Proportional to 1,147,456 and 1,552,685

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Solution

The third proportional to 1,147,456 and 1,552,685 is: 2,101,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,456 : 1,552,685 = 1,552,685 : x
  2. Step 2: Convert to fraction form
    1,147,456/1,552,685 = 1,552,685/x
  3. Step 3: Cross multiply
    1,147,456x = 1,552,685 × 1,552,685
  4. Step 4: Simplify right side
    1,147,456x = 2,410,830,709,225
  5. Step 5: Solve for x
    x = 2,410,830,709,225/1,147,456
  6. Step 6: Final answer
    x = 2,101,022.36

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.