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Finding the Third Proportional to 525,224 and 1,145,480

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Solution

The third proportional to 525,224 and 1,145,480 is: 2,498,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,224 : 1,145,480 = 1,145,480 : x
  2. Step 2: Convert to fraction form
    525,224/1,145,480 = 1,145,480/x
  3. Step 3: Cross multiply
    525,224x = 1,145,480 × 1,145,480
  4. Step 4: Simplify right side
    525,224x = 1,312,124,430,400
  5. Step 5: Solve for x
    x = 1,312,124,430,400/525,224
  6. Step 6: Final answer
    x = 2,498,218.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.