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Finding the Third Proportional to 1,525,801 and 2,241,991.50

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Solution

The third proportional to 1,525,801 and 2,241,991.50 is: 3,294,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,801 : 2,241,991.50 = 2,241,991.50 : x
  2. Step 2: Convert to fraction form
    1,525,801/2,241,991.50 = 2,241,991.50/x
  3. Step 3: Cross multiply
    1,525,801x = 2,241,991.50 × 2,241,991.50
  4. Step 4: Simplify right side
    1,525,801x = 5,026,525,886,072.25
  5. Step 5: Solve for x
    x = 5,026,525,886,072.25/1,525,801
  6. Step 6: Final answer
    x = 3,294,352.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.