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Finding the Third Proportional to 3,701,424 and 5,042,563.50

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Solution

The third proportional to 3,701,424 and 5,042,563.50 is: 6,869,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701,424 : 5,042,563.50 = 5,042,563.50 : x
  2. Step 2: Convert to fraction form
    3,701,424/5,042,563.50 = 5,042,563.50/x
  3. Step 3: Cross multiply
    3,701,424x = 5,042,563.50 × 5,042,563.50
  4. Step 4: Simplify right side
    3,701,424x = 25,427,446,651,532.25
  5. Step 5: Solve for x
    x = 25,427,446,651,532.25/3,701,424
  6. Step 6: Final answer
    x = 6,869,639.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.