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Finding the Third Proportional to 632,548 and 1,361,810

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Solution

The third proportional to 632,548 and 1,361,810 is: 2,931,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,548 : 1,361,810 = 1,361,810 : x
  2. Step 2: Convert to fraction form
    632,548/1,361,810 = 1,361,810/x
  3. Step 3: Cross multiply
    632,548x = 1,361,810 × 1,361,810
  4. Step 4: Simplify right side
    632,548x = 1,854,526,476,100
  5. Step 5: Solve for x
    x = 1,854,526,476,100/632,548
  6. Step 6: Final answer
    x = 2,931,835.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.