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Finding the Third Proportional to 749,931.50 and 1,649,947

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Solution

The third proportional to 749,931.50 and 1,649,947 is: 3,630,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,931.50 : 1,649,947 = 1,649,947 : x
  2. Step 2: Convert to fraction form
    749,931.50/1,649,947 = 1,649,947/x
  3. Step 3: Cross multiply
    749,931.50x = 1,649,947 × 1,649,947
  4. Step 4: Simplify right side
    749,931.50x = 2,722,325,102,809
  5. Step 5: Solve for x
    x = 2,722,325,102,809/749,931.50
  6. Step 6: Final answer
    x = 3,630,098.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.