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Finding the Third Proportional to 1,525,904.50 and 3,291,384

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Solution

The third proportional to 1,525,904.50 and 3,291,384 is: 7,099,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,904.50 : 3,291,384 = 3,291,384 : x
  2. Step 2: Convert to fraction form
    1,525,904.50/3,291,384 = 3,291,384/x
  3. Step 3: Cross multiply
    1,525,904.50x = 3,291,384 × 3,291,384
  4. Step 4: Simplify right side
    1,525,904.50x = 10,833,208,635,456
  5. Step 5: Solve for x
    x = 10,833,208,635,456/1,525,904.50
  6. Step 6: Final answer
    x = 7,099,532.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.