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Finding the Third Proportional to 845,829 and 1,268,473.50

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Solution

The third proportional to 845,829 and 1,268,473.50 is: 1,902,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,829 : 1,268,473.50 = 1,268,473.50 : x
  2. Step 2: Convert to fraction form
    845,829/1,268,473.50 = 1,268,473.50/x
  3. Step 3: Cross multiply
    845,829x = 1,268,473.50 × 1,268,473.50
  4. Step 4: Simplify right side
    845,829x = 1,609,025,020,202.25
  5. Step 5: Solve for x
    x = 1,609,025,020,202.25/845,829
  6. Step 6: Final answer
    x = 1,902,305.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.