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Finding the Third Proportional to 1,573,095.94 and 2,380,911.47

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Solution

The third proportional to 1,573,095.94 and 2,380,911.47 is: 3,603,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573,095.94 : 2,380,911.47 = 2,380,911.47 : x
  2. Step 2: Convert to fraction form
    1,573,095.94/2,380,911.47 = 2,380,911.47/x
  3. Step 3: Cross multiply
    1,573,095.94x = 2,380,911.47 × 2,380,911.47
  4. Step 4: Simplify right side
    1,573,095.94x = 5,668,739,422,025.28
  5. Step 5: Solve for x
    x = 5,668,739,422,025.28/1,573,095.94
  6. Step 6: Final answer
    x = 3,603,556.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.