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Finding the Third Proportional to 1,088,400 and 2,541,597

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Solution

The third proportional to 1,088,400 and 2,541,597 is: 5,935,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,400 : 2,541,597 = 2,541,597 : x
  2. Step 2: Convert to fraction form
    1,088,400/2,541,597 = 2,541,597/x
  3. Step 3: Cross multiply
    1,088,400x = 2,541,597 × 2,541,597
  4. Step 4: Simplify right side
    1,088,400x = 6,459,715,310,409
  5. Step 5: Solve for x
    x = 6,459,715,310,409/1,088,400
  6. Step 6: Final answer
    x = 5,935,056.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.