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Finding the Third Proportional to 914,580 and 1,969,631

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Solution

The third proportional to 914,580 and 1,969,631 is: 4,241,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,580 : 1,969,631 = 1,969,631 : x
  2. Step 2: Convert to fraction form
    914,580/1,969,631 = 1,969,631/x
  3. Step 3: Cross multiply
    914,580x = 1,969,631 × 1,969,631
  4. Step 4: Simplify right side
    914,580x = 3,879,446,276,161
  5. Step 5: Solve for x
    x = 3,879,446,276,161/914,580
  6. Step 6: Final answer
    x = 4,241,779.04

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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.