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Finding the Third Proportional to 525,127 and 1,124,977

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Solution

The third proportional to 525,127 and 1,124,977 is: 2,410,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,127 : 1,124,977 = 1,124,977 : x
  2. Step 2: Convert to fraction form
    525,127/1,124,977 = 1,124,977/x
  3. Step 3: Cross multiply
    525,127x = 1,124,977 × 1,124,977
  4. Step 4: Simplify right side
    525,127x = 1,265,573,250,529
  5. Step 5: Solve for x
    x = 1,265,573,250,529/525,127
  6. Step 6: Final answer
    x = 2,410,032.72

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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.