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Finding the Third Proportional to 835,952 and 1,291,584

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Solution

The third proportional to 835,952 and 1,291,584 is: 1,995,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,952 : 1,291,584 = 1,291,584 : x
  2. Step 2: Convert to fraction form
    835,952/1,291,584 = 1,291,584/x
  3. Step 3: Cross multiply
    835,952x = 1,291,584 × 1,291,584
  4. Step 4: Simplify right side
    835,952x = 1,668,189,229,056
  5. Step 5: Solve for x
    x = 1,668,189,229,056/835,952
  6. Step 6: Final answer
    x = 1,995,556.24

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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.