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Finding the Third Proportional to 804,833 and 1,705,610

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Solution

The third proportional to 804,833 and 1,705,610 is: 3,614,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,833 : 1,705,610 = 1,705,610 : x
  2. Step 2: Convert to fraction form
    804,833/1,705,610 = 1,705,610/x
  3. Step 3: Cross multiply
    804,833x = 1,705,610 × 1,705,610
  4. Step 4: Simplify right side
    804,833x = 2,909,105,472,100
  5. Step 5: Solve for x
    x = 2,909,105,472,100/804,833
  6. Step 6: Final answer
    x = 3,614,545.47

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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.