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Finding the Third Proportional to 911,542 and 1,415,097

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Solution

The third proportional to 911,542 and 1,415,097 is: 2,196,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,542 : 1,415,097 = 1,415,097 : x
  2. Step 2: Convert to fraction form
    911,542/1,415,097 = 1,415,097/x
  3. Step 3: Cross multiply
    911,542x = 1,415,097 × 1,415,097
  4. Step 4: Simplify right side
    911,542x = 2,002,499,519,409
  5. Step 5: Solve for x
    x = 2,002,499,519,409/911,542
  6. Step 6: Final answer
    x = 2,196,826.39

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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.