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Finding the Third Proportional to 804,828 and 1,705,596

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Solution

The third proportional to 804,828 and 1,705,596 is: 3,614,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,828 : 1,705,596 = 1,705,596 : x
  2. Step 2: Convert to fraction form
    804,828/1,705,596 = 1,705,596/x
  3. Step 3: Cross multiply
    804,828x = 1,705,596 × 1,705,596
  4. Step 4: Simplify right side
    804,828x = 2,909,057,715,216
  5. Step 5: Solve for x
    x = 2,909,057,715,216/804,828
  6. Step 6: Final answer
    x = 3,614,508.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.