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Finding the Third Proportional to 808,970 and 1,759,137

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Solution

The third proportional to 808,970 and 1,759,137 is: 3,825,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,970 : 1,759,137 = 1,759,137 : x
  2. Step 2: Convert to fraction form
    808,970/1,759,137 = 1,759,137/x
  3. Step 3: Cross multiply
    808,970x = 1,759,137 × 1,759,137
  4. Step 4: Simplify right side
    808,970x = 3,094,562,984,769
  5. Step 5: Solve for x
    x = 3,094,562,984,769/808,970
  6. Step 6: Final answer
    x = 3,825,312.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.