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Finding the Third Proportional to 3,831,253.50 and 5,762,970

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Solution

The third proportional to 3,831,253.50 and 5,762,970 is: 8,668,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,253.50 : 5,762,970 = 5,762,970 : x
  2. Step 2: Convert to fraction form
    3,831,253.50/5,762,970 = 5,762,970/x
  3. Step 3: Cross multiply
    3,831,253.50x = 5,762,970 × 5,762,970
  4. Step 4: Simplify right side
    3,831,253.50x = 33,211,823,220,900
  5. Step 5: Solve for x
    x = 33,211,823,220,900/3,831,253.50
  6. Step 6: Final answer
    x = 8,668,657.20

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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.