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Finding the Third Proportional to 809,770 and 1,153,536

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Solution

The third proportional to 809,770 and 1,153,536 is: 1,643,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,770 : 1,153,536 = 1,153,536 : x
  2. Step 2: Convert to fraction form
    809,770/1,153,536 = 1,153,536/x
  3. Step 3: Cross multiply
    809,770x = 1,153,536 × 1,153,536
  4. Step 4: Simplify right side
    809,770x = 1,330,645,303,296
  5. Step 5: Solve for x
    x = 1,330,645,303,296/809,770
  6. Step 6: Final answer
    x = 1,643,238.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.