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Finding the Third Proportional to 525,576 and 1,129,884

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Solution

The third proportional to 525,576 and 1,129,884 is: 2,429,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,576 : 1,129,884 = 1,129,884 : x
  2. Step 2: Convert to fraction form
    525,576/1,129,884 = 1,129,884/x
  3. Step 3: Cross multiply
    525,576x = 1,129,884 × 1,129,884
  4. Step 4: Simplify right side
    525,576x = 1,276,637,853,456
  5. Step 5: Solve for x
    x = 1,276,637,853,456/525,576
  6. Step 6: Final answer
    x = 2,429,026.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.