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Finding the Third Proportional to 843,742.50 and 1,306,804.50

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Solution

The third proportional to 843,742.50 and 1,306,804.50 is: 2,024,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,742.50 : 1,306,804.50 = 1,306,804.50 : x
  2. Step 2: Convert to fraction form
    843,742.50/1,306,804.50 = 1,306,804.50/x
  3. Step 3: Cross multiply
    843,742.50x = 1,306,804.50 × 1,306,804.50
  4. Step 4: Simplify right side
    843,742.50x = 1,707,738,001,220.25
  5. Step 5: Solve for x
    x = 1,707,738,001,220.25/843,742.50
  6. Step 6: Final answer
    x = 2,024,003.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.