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Finding the Third Proportional to 804,851.44 and 1,705,657.50

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Solution

The third proportional to 804,851.44 and 1,705,657.50 is: 3,614,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,851.44 : 1,705,657.50 = 1,705,657.50 : x
  2. Step 2: Convert to fraction form
    804,851.44/1,705,657.50 = 1,705,657.50/x
  3. Step 3: Cross multiply
    804,851.44x = 1,705,657.50 × 1,705,657.50
  4. Step 4: Simplify right side
    804,851.44x = 2,909,267,507,306.25
  5. Step 5: Solve for x
    x = 2,909,267,507,306.25/804,851.44
  6. Step 6: Final answer
    x = 3,614,663.99

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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.