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Finding the Third Proportional to 1,081,095.89 and 1,520,697.59

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Solution

The third proportional to 1,081,095.89 and 1,520,697.59 is: 2,139,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,095.89 : 1,520,697.59 = 1,520,697.59 : x
  2. Step 2: Convert to fraction form
    1,081,095.89/1,520,697.59 = 1,520,697.59/x
  3. Step 3: Cross multiply
    1,081,095.89x = 1,520,697.59 × 1,520,697.59
  4. Step 4: Simplify right side
    1,081,095.89x = 2,312,521,147,876.14
  5. Step 5: Solve for x
    x = 2,312,521,147,876.14/1,081,095.89
  6. Step 6: Final answer
    x = 2,139,052.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.