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Finding the Third Proportional to 911,536 and 1,415,088

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Solution

The third proportional to 911,536 and 1,415,088 is: 2,196,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,536 : 1,415,088 = 1,415,088 : x
  2. Step 2: Convert to fraction form
    911,536/1,415,088 = 1,415,088/x
  3. Step 3: Cross multiply
    911,536x = 1,415,088 × 1,415,088
  4. Step 4: Simplify right side
    911,536x = 2,002,474,047,744
  5. Step 5: Solve for x
    x = 2,002,474,047,744/911,536
  6. Step 6: Final answer
    x = 2,196,812.90

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Why These Related Problems?

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