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Finding the Third Proportional to 913,152 and 1,419,456

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Solution

The third proportional to 913,152 and 1,419,456 is: 2,206,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,152 : 1,419,456 = 1,419,456 : x
  2. Step 2: Convert to fraction form
    913,152/1,419,456 = 1,419,456/x
  3. Step 3: Cross multiply
    913,152x = 1,419,456 × 1,419,456
  4. Step 4: Simplify right side
    913,152x = 2,014,855,335,936
  5. Step 5: Solve for x
    x = 2,014,855,335,936/913,152
  6. Step 6: Final answer
    x = 2,206,484.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.