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Finding the Third Proportional to 525,125 and 1,124,973

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Solution

The third proportional to 525,125 and 1,124,973 is: 2,410,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,125 : 1,124,973 = 1,124,973 : x
  2. Step 2: Convert to fraction form
    525,125/1,124,973 = 1,124,973/x
  3. Step 3: Cross multiply
    525,125x = 1,124,973 × 1,124,973
  4. Step 4: Simplify right side
    525,125x = 1,265,564,250,729
  5. Step 5: Solve for x
    x = 1,265,564,250,729/525,125
  6. Step 6: Final answer
    x = 2,410,024.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.