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Finding the Third Proportional to 833,424.50 and 1,244,649

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Solution

The third proportional to 833,424.50 and 1,244,649 is: 1,858,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,424.50 : 1,244,649 = 1,244,649 : x
  2. Step 2: Convert to fraction form
    833,424.50/1,244,649 = 1,244,649/x
  3. Step 3: Cross multiply
    833,424.50x = 1,244,649 × 1,244,649
  4. Step 4: Simplify right side
    833,424.50x = 1,549,151,133,201
  5. Step 5: Solve for x
    x = 1,549,151,133,201/833,424.50
  6. Step 6: Final answer
    x = 1,858,778.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.